Question

If sin()<0, find the value of cos() when cot()=25.

Answer 1

The value of cos theta is 2/√29

Trigonometry identity

A trigonometry identity are expressions expressed as cosine, tangent, sine.

Given the following trigonometry identity

cot theta = 2/5

1/tan theta = 2/5

tan theta = 5/2

Determine the hypotenuse

hyp² =5^2 + 2^2

hyp² = 25 + 4

hyp = √29

Determine the value of cos theta

cos theta= adj/hyp

cos theta= 2/√29

Hence the value of cos theta is 2/√29

Learn more on trigonometry identity here: brainly.com/question/7331447

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