Question

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

Answer 1

By using trigonometric relations, we will find that:

sin(θ) = (√33)/7 = √(33/49)

How to find the value of the sine?

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

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