Question

Suppose 0 is an angle in the first quadrant and cos(0) = 1 What is the value of sin(0)?

Answer 1

Explanation:

I'm going to use a Pythagorean identity to help make this make sense.

`sin^2\theta+cos^2\theta=1`

We are given that cos(0) = 1, so

cos²θ = 1² which simplifies to

cos²θ = 1. So filling into our trig identity:

sin²θ + 1 = 1 and

sin²θ = 0 then

sinθ = √0 so

sinθ = 0

`sin^(-1)\theta=0` so

sin(0) = 0