Question

If tan theta = 24/7 and sin theta is Negative then value of cos theta will be?

Answer 1

tan theta =sin theta /cos theta

by pythagoras theorem hypotenuse =31 so sin theta =24/31

Answer 2

Answer:

The value of cos(θ) = -7/25

Step-by-step explanation:

Given,

tan(θ) = 24/7 and sin(θ) is negative

To find,

cos(θ)

We know that sin(θ) is negative at third and fourth quadrant, but according to the question tan(θ) is having positive value and is positive at first and third quadrant. So all the values which lies in third quadrant must be considered.

So if tan(θ) = 24/7 = opp/adj

Hence, hyp = 25 (= $\sqrt{24^2+7^2}$)

then cos(θ) = adj/hyp

⇒ cos(θ) = -7/25 (As cosine function in the third quadrant is negative)

Therefore, the value of cos(θ) = -7/25.

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