Question

Sin 0 cos² 0 + sin³ 0 = sin 0​

Answer 1

The equation is true

Explanation:

Using the identities sin^2(x) + cos^2(x) = 1 and sin^3(x) = sin^2(x)sin(x), we can rewrite the left-hand side of the equation as:

sin(0) cos²(0) + sin³(0) = sin(0)(1-sin^2(0)) + sin^2(0)sin(0)

Since sin(0) = 0, this simplifies to:

sin(0) cos²(0) + sin³(0) = 0

On the right-hand side, we have sin(0) = 0, so the equation becomes:

0 = 0

Therefore, the equation is true:

sin(0) cos²(0) + sin³(0) = sin(0)

Hope this helps!