Question

If sin theta equal one then find the value of sin 2 theta

Answer 1

if sin theta is equal to one implies theta is equal 90 degrees then sin 2 theta
=sin 180 degrees
=1

Answer 2

Answer:

The required value of sin2$\theta$ is 0.

Step-by-step explanation:

Given:-

The value of sin$\theta$ = 1.

To find:-

The value of sin2$\theta$.

Step 1 of 1

It is given that sin$\theta$ = 1.

As we know,

The value of sin90° = 1.

This implies,

sin$\theta$ = sin90°

⇒ $\theta$ = 90°

We need to find the value of sin2$\theta$.

As we know,

sin2$\theta$ = 2sin$\theta$cos$\theta$

Now,

Substitute the value of $\theta$ as follows:

sin2(90°) = 2sin(90°)cos(90°)

sin180° = 2(1)(0) (Since sin90° = 1 and cos90° = 0)

sin180° = 0.

Therefore, the value of sin2$\theta$ is 0.

#SPJ3