Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find all solutions with 90θ90-90^\circ \leq \theta \leq 90^\circ. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinesin(θ)=1\sin (\theta) = -1\newline____\_\_\_\_\,^\circ

Full solution

Q. Find all solutions with 90θ90-90^\circ \leq \theta \leq 90^\circ. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.\newlinesin(θ)=1\sin (\theta) = -1\newline____\_\_\_\_\,^\circ
  1. Identify minimum sine value: Since sin(θ)=1\sin(\theta) = -1, we know that θ\theta is an angle where the sine function reaches its minimum value on the unit circle.
  2. Determine angle for sin(θ)=1\sin(\theta) = -1: The only angle where sin(θ)\sin(\theta) equals 1-1 in the given range is at θ=90°\theta = -90°.

More problems from Solve trigonometric equations II