How do you solve sin squared x equal to sin x?

Answer 1

Solve sin² x = sin x.

The answer is

x = 0 or π/2 or π.

Here's how you can find this result:

Let s = sin x.

Then, we have,

s² - s = 0; whence,

s(s - 1) = 0.

Now, when the product of two numbers is zero, then one or other of them must equal zero.

Hence, either,

s = 0

OR

s - 1 = 0; that is,

sin x = 1 or 0.

For 0 ≤ x < 360°,

x = 0° or 90° or 180°;

those being the only angles whose sine equals either 1 or 0.

In term of radian measure, x = 0 or π/2 or π.