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swat32
2 years ago
9

Fatima wants to find the value of sine theta, given cotangent theta = four-sevenths. which identity would be best for fatima to

use?
Mathematics
1 answer:
Olin [163]2 years ago
3 0

By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

<h3>How to find the value of the sine?</h3>

Remember that for a right triangle, we have the relations:

cos(a) = (adjacent cathetus)/(hypotenuse)

sin(a) = (opposite cathetus)/(hypotenuse).

Here we know that:

cos(θ) = 4/7

Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.

opposite cathetus = √(7^2 - 4^2) = √33

Then we can write:

sin(θ) = (√33)/7 = √(33/49)

If you want to learn more about trigonometry.

brainly.com/question/8120556

#SPJ4

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Answer: D

Step-by-step explanation:

(A. 1.5 > 2 1/2

(B. 1/2 > 0.5

(C. -2.5 > -1.5

(D. -3 1/2 > - 4.5

Step 1: Convert everything to decimals or fractions so its easier to see and make it less likely to get the question wrong

Method #1: Fractions

1.5= 1 1/2

0.5= 1/2

-2.5= - 2 1/2

-1.5= - 1 1/2

-4.5= -4 1/2

Now we have:

(A. 1 1/2 > 2 1/2 --> This is wrong because 1 1/2 is supposed to be less than 2 1/2.

(B. 1/2 > 1/2 This is also wrong. 1/2 is equal to 1/2; they are obviously the same.

(C. -2 1/2 > -1 1/2 This is wrong because, in negative numbers, its sort of backwards. For example, -2 is actually less than -1 because its farther away from 0. But if they were normal positive numbers, 2 would be bigger. But here, -2 1/2 is less than -1 1/2.

(D. -3 1/2 > - 4 1/2 This is correct. -3 1/2 is closer to 0 than -4 1/2, so it has to be bigger.

Solving the problem this way gets me to: Answer= D

Method #2: Decimals (remember: same numbers, different way of writing them!!!)

(A. 1.5 > 2.5 False. 1.5 is less than 2.5

(B. 0.5 > 0.5 False. 0.5 is equal to 0.5

(C. -2.5 > -1.5 False. -2.5 is farther away from 0 so its actually smaller.

(D. -3.5 > - 4.5 True. -3.5 is closer to 0.

Doing it this way also leads me to Answer= D.

Hope this helps :)) Also can i please have brainiest? I worked pretty hard on this :D

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The <em>correct answer</em> is:

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