Question

Which value of theta is tan theta equal to sin theta?
pi, pi/2, pi/4 or pi/6

Answer 1

"pi" is the one value among the choices given in the question for which the value of theta is tan theta equal to sin theta. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that you were looking for and the answer has actually come to your help.

Answer 2

The correct option is 1.

Explanation:

Let the value of sinθ and tanθ is same.

`\tan\theta = \sin \theta`

`(\sin\theta)/(\cos \theta) = \sin \theta`
`[\because \tan\theta=(\sin\theta)/(\cos \theta)]`

Cancel out the common factor.

`(1)/(\cos \theta) = 1`

`1=\cos \theta`

`\cos (\pi)=\cos \theta`

`\pi=\theta`

For
`\theta=\pi`, the value of sinθ and tanθ is same.

Therefore the correct option is 1.