If 3 cot theta= 2, find the value of 2sin theta -3cos theta /2sin theta +3cos theta

Answers

Answer 1

Answer:

0

Step-by-step explanation:

Using the trigonometric identity

cotx = [tex]\frac{cosx}{sinx}[/tex]

Given

3cotθ = 2 , then

3[tex]\frac{coso}{sino}[/tex] = 2 ( multiply both sides by sinθ )

3cosθ = 2sinθ ( subtract 3cosθ from both sides )

2sinθ - 3cosθ = 0

Thus

[tex]\frac{2sin0-3cos0}{2sin0+3cos0}[/tex]

= [tex]\frac{0}{2sin0+3cos0}[/tex]

= 0


Related Questions

A statement that two ratios are equal is called a

Answers

The answer is proportion. A proportion basically equates two ratios.

A statement that two ratios are equal is called a proportion.

In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.

Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.

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- You study 4 hours per day and are in class 6 hours
per day. Find the ratio of the number of study hours to
class hours.

Answers

Answer:

2/3

Step-by-step explanation:

Initially it would be 4/6 which you can simplify as 2/3

8) On Tuesday Heather bought six hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 19 left. How many did she have on
Monday?
PLS HELP

Answers

Answer: On Monday, Heather had 32 hats.

Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.

find the solutions of 4s²-12s = -9 by factoring​

Answers

Steps Using Factoring By Grouping

[tex]4 {s}^{2} - 12s = - 9[/tex]

[tex]4 {s}^{2} - 12s + 9 = 0[/tex]

[tex](4 {s}^{2} - 6s) + ( - 6s + 9) = 0[/tex]

[tex]2s(2s - 3) - 3(2s - 3) = 0[/tex]

[tex](2s - 3)(2s - 3) = 0[/tex]

[tex](2s - 3) {}^{2} = 0[/tex]

 ‍ 

[tex]2 s - 3 = 0[/tex]

[tex] \: \: \: \: \: \: \: 2s = 0 + 3[/tex]

[tex] \: \: \: \: \: \: \: 2s = 3[/tex]

[tex] \: \: \: \: \: \: \: \: \: s = \frac{3}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1 \frac{1}{2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: s = 1,5[/tex]

[tex] \green {\boxed{s = \frac{3}{2} = 1 \frac{1}{2} =1,5}}[/tex]

#IfWrongPleaseReport

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#ILoveMath

NEED HELP 15 points please help!!!

Answers

Can you make the question more clear please
Its bs times 3 time 4 equals you dumb


Help me please ^_^!!!

Answers

Answer:

I'd say the answer is A or B

Step-by-step explanation:

Since the colonists overtime had so many laws passed over that were cruel and unfair they went against the British with acts like the Tea Act which were preformed to turn against the British. (sorry if im wrong ^-^)

How to find LCM by division method

Answers

look it dinometer of last two numbers at the down and cross multiple them by the lcm

five million four thousand three hundred in standard for

Answers

Answer:

500,400,300

Step-by-step explanation:

is this correct?

Answer:

Your answer is 5004300

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

find the number of point p that is 1/4 of the way from a to b.
A__________________B
-15 33

Answers

Answer:12

Step-by-step explanation:33 + 15=48 48/4=12

Which of following have a value equal too |-28|?

Answers

Answer:

Step-by-step explanation:

2nd one, 3rd one, and 5th one

Answer:

28

Step-by-step explanation:

Consider f(x) = mx + b where m and b are both non-zero constants. The function g(x) is the inverse of f(x). Which of the following functions is g(x)? Use composition of functions to check your answer.

Answers

Answer:

2x-54n

Step-by-step explanation:

2x-54 that’s the answer I’m late tho

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!

Answers

Answer:

I believe the answer is the first one A

Step-by-step explanation:

If you do this will construct the perpendicular bisector for AB.

Answer:

iT IS A

Step-by-step explanation:

On June 30, Tina Nader's check register balance was $452.88 and her bank
statement balance was $697.55. Checks outstanding were 561, $39.28; 562,
$121.31; 564, $83.19. The statement showed earned interest of $0.89. Reconcile
the check register and bank statement.

Answers

Answer:

43

Step-by-step explanation:

Answer:

43 is what I would say

Step-by-step explanation:

step by step

Please help Find sin and csc. ​

Answers

I did this I think the sin is 56

In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them
play baseball. There are 6 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer: Probability of a student playing both basketball and baseball is 4/28 or 14.3%

Step-by-step explanation:

1) Students playing atleast one sport = 28 - 6 = 22

2) N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)

N(Basketball ∩ Baseball) = 9 + 17 - 22 = 4

3) Number of students playing both basketball and baseball = 4

Total number of students = 28

Probability of a student playing both basketball and baseball is 4/28

4/28= 0.1428571429 x 100%= 14.3%

Answer:4/28

Step-by-step explanation:4/28

-2m=-10
Solve this for m

Answers

Answer:

M=5

Step-by-step explanation:

divide each side by -2

Round 23,487 to the nearest ten. PLEASE HELP I WILL BRAINEST ASAP

Answers

Answer:

23,490

Step-by-step explanation:

is
Find the area of this circle. Use 3 for .
A = air2
Hint: The radius (r) is
1/2 of the diameter.
12 in
[?] in2

Answers

Answer:

113.1 in²

Step-by-step explanation:

A = pi × r²

= pi × 6²

= 113.1 in²

Solve the following system of equations using substitution, showing all work.
y=2x+3
2x+5y=3

Answers

x=negative 1

y=1

showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.

12x+15=312x+15=3

2 Solve for xx in 12x+15=312x+15=3.

x=-1x=−1

3 Substitute x=-1x=−1 into y=2x+3y=2x+3.

y=1y=1

Answer:

x= -1

y= 1

Step-by-step explanation:

since y=2x+3; plug into other equation

2x+5(2x+3)=3

(distribute 5 to 2x+3)

2x+10x+15=3

(add like terms)

12x= -12

divide by 12 to get x alone

x=-1

now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.

y=2(-1)+3    

y=-2+3

y=1

what is the relationship between the radius and diameter of a circle?

Answers

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center.

The relationship between the radius and diameter of a circle is that the diameter is twice the length of the radius.

In other words, the diameter of a circle is equal to 2 times the radius. Mathematically, this relationship can be expressed as:

Diameter (D) = 2 * Radius (r)

This relationship is consistent for all circles. No matter the size of the circle, the diameter will always be exactly twice the length of the radius. The radius is the distance from the center of the circle to any point on the circle's circumference, while the diameter is the distance from one point on the circumference to another, passing through the center. Understanding this relationship is essential in various geometrical calculations and formulas involving circles.

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please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

10

Step-by-step explanation:

Show me how I do it please

Answers

Answer:

y=7x-5

Step-by-step explanation:

y=mx+b

2=(7)(1)+b

2=7+b

2-7=b

-5=b

(3^8 ⋅ 2^−5 ⋅ 9^0)^−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 3^28

Answers

Answer:

I agree with the first answer.

Step-by-step explanation:

Answer:

(38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 ((38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (

Step-by-step explanation:

I just need help with 1-8

Answers

Answer:

1. Reflexive Property of equality

2. Addition Property of equality

3. Subsitution

4. Definition of Congruence

5. Transitive Property

6. Division of equality

7. Segment Addition postulate

8. Subtraction of equality

Step-by-step explanation:

Help me solve this problem please

Answers

Answer:

subtracted 2x from both sides

Step-by-step explanation:

4x = 2x + 402    subtract 2x from both sides

4x - 2x = 2x - 2x + 402

2x = 402

What’s 5 divided by 6.2

Answers

5 divided by 6.2 is 0.80

Answer:

8

Step-by-step explanation:

Because you need to round 0.8064516129 to the nearest tenth

-6=2/3x What does x equal

Answers

Answer:

x = -9 :)

Step-by-step explanation:

solve for x by simplifying both sides of the equation then isolating the equation

brainliest pls if correcto

Someone please help me out !!!!!!!

Answers

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[tex](9x + 17) + (3x + 7) = 180[/tex]

[tex]12x + 24 = 180[/tex]

Subtract sides 24

[tex]12x + 24 - 24 = 180 - 24[/tex]

[tex]12x = 156[/tex]

Divide sides by 12

[tex] \frac{12}{12} x = \frac{156}{12} \\ [/tex]

[tex]x = 13[/tex]

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Mal always solve the equation of negative 5 x minus 16 equals 8, his work is shown below identify the era where it was made step one not gonna 5 x minus 16 plus 16 equals 8 plus 16 Sep 2 negative 5 x equals 24 step, 3 negative 5 x, over 5 equals 24 over 5 step 424 are 5.

Answers

Given:

The equation is

[tex]-5x-16=8[/tex]

To find:

The error and correct solution.

Solution:

We have,

[tex]-5x-16=8[/tex]

Add 16 on both sides.

[tex]-5x-16+16=8+16[/tex]

[tex]-5x=24[/tex]

Divide both sides by -5.

[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]

[tex]x=-\dfrac{24}{5}[/tex]

Third step is incorrect because he divide the equation by 5 instead of -5.

Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].

Write an expression for: The sum of 5 times a number and twice a number is 42.

Answers

Answer:

42

Step-by-step explanation:

5x5=40  ---->  40+2=42

Other Questions
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