Please help. How do you find cosine, sine, cosecant and secant with this triangle?
Answers
Hi there! You have to remember these 6 basic Trigonometric Ratios which are:
sine (sin) = opposite/hypotenusecosine (cos) = adjacent/hypotenusetangent (tan) = opposite/adjacentcosecant (cosec/csc) = hypotenuse/oppositesecant (sec) = hypotenuse/adjacentcotangent (cot) = adjacent/oppositecosecant is the reciprocal of sinesecant is the reciprocal of cosinecotangent is the reciprocal of tangentBack to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.
What we have now are:
Trigonometric RatioAdjacent = 12Opposite = 10Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!
a²+b² = c²Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite
Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.
10²+12² = c²100+144 = c²244 = c²Thus, the hypotenuse is:
[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]
Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:
cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = (6√61) / 61sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = (5√61) / 61cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = √61/5secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = √61/6Questions can be asked through comment.
Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.
Hope this helps, and Happy Learning! :)
Related Questions
The dot plot shows how many cats are owned by each person in a neighborhood: Dot plot titled Neighborhood Cats and labeled Number of Cats shows number line from 1 to 10. There are 6 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, 0 dots over 5, 6, 7, 8, and 9, and 1 dot over 10. Is the median or the mean a better measure of center for these data and why
Answers
Answer:
Median, because the data are skewed and there is an outlier
Step-by-step explanation:
yo hoped it helped
There are 3 oranges, 8 peaches, and 4 apples in a fruit basket. David selected one piece of fruit at random. He was hungry and ate that fruit. He then selected a second piece of fruit. What is the probability that he selects two peaches?
Answers
Answer:
Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)
Step-by-step explanation:
Given:
Number of oranges = 3
Number of peach = 8
Number of apple = 4
Find:
Probabilty[First and second fruit is peach without replacement]
Computation:
Probablity of an event = Number of favourable outcomes / Number of outcomes
Probabilty[First fruit is peach] = 8 / [3 + 8 + 4]
Probabilty[First fruit is peach] = 8 / 15
Probabilty[Second fruit is peach] = [8-1] / [3 + 8 + 4 - 1]
Probabilty[Second fruit is peach] = 7 / 14
Probabilty[Second fruit is peach] = 1 / 2
Probabilty[First and second fruit is peach without replacement] = Probabilty[First fruit is peach] x Probabilty[Second fruit is peach]
Probabilty[First and second fruit is peach without replacement] = [8/15][1/2]
Probabilty[First and second fruit is peach without replacement] = 8 / 30
Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)
If a + b = 7 and b=3, what is 4a
A. 20b
B. 17a
C. 16
D.20
Answers
The requried simplified value of 4a is 16. Option C is correct.
What is simplification?Simplification is the process of reducing a mathematical expression to its simplest form by combining like terms, using the distributive property, and performing other algebraic operations.
If b=3, then substituting in the first equation, we get:
a + 3 = 7
Solving for a:
a = 4
Now, 4a = 4 x 4 = 16.
Therefore, the answer is C. 16.
Learn more about simplification here:
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(44=6x-1+9x,-5)
I don’t know how to answer this I just know it’s ( , -5)
Answers
Answer:
Step-by-step explanation:
(44=6x-1+9x.-5)
We move all terms to the left:
(44-(6x-1+9x.-5))=0
We add all the numbers together, and all the variables
(44-(6x+9x.-6))=0
We calculate terms in parentheses: +(44-(6x+9x.-6)), so:
44-(6x+9x.-6)
determiningTheFunctionDomain
-(6x+9x.-6)+44
We get rid of parentheses
-6x-9x.+6+44
We add all the numbers together, and all the variables
-6x-9x.+50
Back to the equation:
+(-6x-9x.+50)
We get rid of parentheses
-6x-9x.+50=0
We move all terms containing x to the left, all other terms to the right
-6x-9x.=-50
Jack can program an app in 3 hours. Chris can program the same app in 8 hours. How long would it take them to program the same app working together?
Answers
Answer:
2 2/11 hours
Step-by-step explanation:
Let the number of hours
Jack spent programming his app = J
Chris spent programming his app = C
Total hours if they worked together = T
Hence,
1/T = 1/3 + 1/8
Lowest Common Denominator = 34
1/T = 8 + 3/24
1/T = 11/24
Cross Multiply
T × 11 = 1 × 24
T = 24/11
T = 2 2/11 hours
Therefore, it would take them to program 2 2/11 hours to program the same app working together
Please solve this for me!
4c + 36 divided by 3 + 4(1 + 2) if c = 5
Answers
Answer:4 or 3.70
Step-by-step explanation:
well if c = 5 you should 1st do 4 x 5= 20 + 36 and that equals 56
now do (1+2)=3 x 4 =12 + 3 =15
now not sure what ur answers are but i got either 4 or 3.70
Good Luck!!!
Three same-sized cubes are attached to the top of a rectangular prism as shown below
If 5 cm, b = 18 cm, and c = 2 cm, what is the surface area of the figure?
ANSWER ASAP!! PLEASE!!
Answers
Answer:
458 cm²
Step-by-step explanation:
5 × 5 × 2 + 5 × 18 × 4 = 50 + 360 = 410
2 × 2 × 4 × 3 = 48
410 + 48 = 458
Solve for y in the two equations below using substitution.
3x – 6y = 9
– 3x + 3y=9
A. y = 1/3
B. y = - 1/3
C. y = -6
D. y = 6
Answers
Answer:
C. y = -6
Step-by-step explanation:
3x – 6y = 9
–3x + 3y = 9
-3y = 18
y = -6
Can someone help its math :)
Answers
Answer:
m<F = 53
Step-by-step explanation:
Exterior angles thm:
5x - 10 + 3x + 14 = 100
8x + 4 = 100
8x = 104
x = 13
m<F:
3x + 14
3(13) + 14
39 + 14
53
does anyone understand this?
Answers
Answer:
Hello! answer: 80
Step-by-step explanation:
When doing the Pythagorean theorem you do...
a^2+b^2=c^2 which is just A multiplied byitself + B multiplied byitself that will equal the number that C multiplied by itself would equal then you just figure out what multiplied byitself equals that number and thats the answer so...
64 × 64 = 4096 48 × 48 = 2304
4096 + 2304 = 6400 80 × 80 = 6400 therefore c = 80 hope that helps!
Answer:
c = 80 inches
Step-by-step explanation:
The length of the hypotenuse can be found by using the following formula in which "c" is the length of the hypotenuse, and "a" and "b" are the legs of the right angles triangle.
[tex]c = \sqrt{a^{2} + b^{2} }[/tex]
[tex]c= \sqrt{64^{2} + 48^{2} } \\c= \sqrt{4096 + 2304} \\c = \sqrt{6400} \\c = 80 inches[/tex]
Round your answer to the nearest hundredth.
с
4
А
25°
B
Answers
Answer:
take 25 degree as reference angle
let hypotenuse be x
using cos rule
cos 25=adjacent/hypotenuse
0.90=4/x
0.90x=4
x=4/0.90
x=4.44
Step-by-step explanation:
i need help please
Answers
Answer:
54
Step-by-step explanation:
55+71=126
180-126=54
Find the area of each regular polygon
Answers
the pentagon consists of 10 of the triangles so the area is 151.5699 or 151.6
Can someone please help me?
What is the length of the side
between point A and point B?
I
15 ft A
18 ft
B.
9 ft
27 ft
Answers
Answer:
195 answer.plus minus plus minus plus minus
A new 54 inch flatscreen TV cost $1245 at Best Buy. If Harry has a 15% off coupon what will he pay for the TV
Answers
Answer: 1,058
Step-by-step explanation:
The bar graph shows the number of
members of the Athletic Booster Club
during various years.
In which year was the membership 40% greater than it was in 2012?
Answers
Answer:
The anwser is 2015, hope this helps out
Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.
x > 3 y < 2x - 5 answers: (-3, -1) (1, 11) (4, -1) (5, 6)
Answers
Given:
The system of inequalities:
[tex]x>3[/tex]
[tex]y<2x-5[/tex]
To find:
The point that represents a solution to the system by using the graph.
Solution:
We have,
[tex]x>3[/tex]
[tex]y<2x-5[/tex]
The related equations of these inequalities are:
[tex]x=3[/tex]
[tex]y=2x-5[/tex]
The line [tex]x=3[/tex] is a vertical line that intersect the x-axis at 3.
The table of values for [tex]y=2x-5[/tex] is:
x y
0 -5
1 -3
Plot (0,-5) and (1,-3) on a coordinate plan and connect them by a straight line.
The boundary lines are dotted lines because the points on the lines are not included in the solution set.
Check the inequalities for (0,0).
First inequality: [tex]0>3[/tex] ( False)
Second inequality: [tex]0<2(0)-5[/tex]
[tex]0<-5[/tex] (False)
Both inequalities are false for (0,0). It means the shaded region of the lines is in the opposite direction of (0,0).
Plot the shaded region and the points (-3, -1), (1, 11), (4, -1), (5, 6) as shown in the below graph.
From the below graph, it is clear that the point (4,-1) is the only point lies in the common shaded region. So, (4,-1) represents a solution to the system.
Therefore, the correct option is C.
Select ALL of the expressions that are equivalent to 3(8-4x) A. (4x+ 8) + (4x+8) +( 4x+8) B. 24+12x C. -4x+24 D. 12x+24 E. - 12x-24
Answers
A. Should be 8 - 4x, not 8 + 4x
B. 3(8 - 4x) = 24 - 12x not 24 + 12x
C. Doesn’t make sense at all
D. 3(8 - 4x) = 24 - 12x Correct!
E. 3(8 - 4x) = 24 - 12x 24 shouldn’t be negative
What is the probability that a randomly selected value from the distribution will be less than 2.1 standard deviation from the mean
Answers
Answer:
0.9821
Step-by-step explanation:
Probability that a randomly selected value will be less than 2.1 deviations from the mean ; this means the Zscore = 2.1
Hence, using :
P(Z < 2.1) = 0.9821 (standard normal table
= 0.9821
x = 5, 3x + 10 = 25, 3x – 11 = 4 are example of: which equastion
Answers
Answer:
linear equations, i assume
Step-by-step explanation:
Find the area of the figure below.
15 m
12 m
18 m
a. 431.59 m2
b. 395.59 m²
O c. 1,042.37 m²
Answers
Answer:
b. 395.59 m²
Step-by-step explanation:
It's honestly a lot to explain however I can explain if you want me too. Just let me know!
We can write the area of the given figure as 431.59 square meters.
What is Area?Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -
V = ∫∫F(x, y) dx dy
Given is a figure as shown in the image.
It is asked to find the total area of the given figure.
We can write the area of the figure as -
Area = Area{triangle 1} + Area{rectangle} + A{triangle 2} + A{semi circle 1} + A{semi circle 2}
Area = {1/2 x 12 x 15} + {12 x 15 - √(18² - 12²)} + {1/2 x 12 x √(18² - 12²)} + {π(18² - 12²)/2} + {π(15² + 12²)/2}
Area = 431.59 square meters
So, it can be concluded that the area of the given figure as 431.59 square meters.
Therefore, we can write the area of the given figure as 431.59 square meters.
To solve more questions on areas, visit the link-
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4x-1/y -3=2 solve for y
Answers
According to a recipe for purple paint, the ratio of milliliters of blue paint to milliliters of red paint in the mixture should be 20:4. Selena has 140 ml of blue paint. She wants to mix red paint to it to get the same shade as suggested by the recipe.
For every 1 ml of red paint, the recipe suggests adding [Drop Down 1] of blue paint. So, for
140 ml of blue paint the amount of red paint needed is [Drop Down 2].
Answers
Answer:
30ml
Step-by-step explanation:
The function f(x) = { x + is used to complete this table. Which statements are true of the given function?
(-1,1) (0,3/2) (1,2) (2,5/2)
Answers
Answer:
i don't know
Step-by-step explanation:
can you explain? thank you
What is the greatest common factor of 5 x 7 ,30 x 4 and 10 x 3
Answers
Paul ran 12 miles in 1 hour and 36 minutes. What was Paul's average rate, in minutes per mile?
Answers
Answer:
8 miles per minute
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
8 minutes per mile
Which graph represents the parametric equations x = t^2 + 2t and y = –t, where –4 ≤ t ≤ 1?
Answers
Answer:
We have:
x = t^2 + 2*t
y = -t
where:
–4 ≤ t ≤ 1
Isolating t in the "y" equation, we get:
t = -y
Now we can use the limits of t, to find similar limits for y.
When t = -4
-4 = -y
4 = y
when t = 1
1 = -y
-1 = y
Then the limits for y are:
-1 < y < 4
Now, knowing that t = -y
we can replace that in the "x" equation:
x = t^2 + 2*t
x = (-y)^2 + 2*(-y)
x = y^2 - 2*y
Then the graph of the parametric equation is the one defined by:
x = y^2 - 2*y
in the range
-1 < y < 4
The graph of this can be seen below, where the two black dots are the points where the graph should start/end.
The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
An approach to determine the possible graph consists in eliminating [tex]t[/tex] and simplify the resulting expression of the form [tex]f(x)[/tex]:
[tex]x = t^{2}+2\cdot t[/tex] (1)
[tex]y = -t[/tex] (2)
By (2):
[tex]t = -y[/tex]
(2) in (1):
[tex]x = (-y)^{2} + 2\cdot (-y)[/tex]
[tex]x = y^{2}-2\cdot y[/tex]
In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
To learn more on parametric equations, we kindly invite to check this verified question: https://brainly.com/question/9056657
5 small containers of capacity 16, 72, 12, 24 and 56 Litres are to be used to fill a bigger container. What is the capacity of the bigger container which can be filled by each of the above containers exactly without leaving a remainder when used seperately?
Answers
Answer: 1008
Step-by-step explanation:
Given
5 small containers of capacity 16,72,12,24, and 56 litres is required to fill a big container.
The volume of big container is the LCM of the 5 given containers
[tex]LCM(16,72,12,24,56)=1008[/tex]
Therefore, the capacity of the bigger container is 1008 litres.
i give brainliest if you help me out
Answers
Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a
cost of $8.90. She bought 2 bear claws at $1.75 each. The rest of the
money was spent on 2 iced mochas. What is the cost of one iced
mocha?
Answers
Answer:
$0.3
Step-by-step explanation:
8.90x2=17.8
1.75x2=3.5
17.8+3.5=21.3
21.90-21.3=0.6
0.6/2=0.3