Thread: Trigonometry involving Theta

So my teacher is bad at explaining so I need your help.

1. If cosθ = and 0 ≤ 2θ ≤ , find sin θ.

2. Find all θ in the interval [0,2) that satisfy the equation: sinθ = .
Number 2 is suppose to be:
Find all θ in the interval [0,2) that satisfy the equation:



Tips are kind of helpful, but step-by-step views will surely help in understanding it thoroughly...
Thank You!

Originally Posted by meiyukichan

So my teacher is bad at explaining so I need your help.

1. If cosθ = and 0 ≤ 2θ ≤ , find sin θ.

2. Find all θ in the interval [0,2) that satisfy the equation: sinθ = .


Tips are kind of helpful, but step-by-step views will surely help in understanding it thoroughly... if that makes sense.
Thank You!

2.

Keep in mind that saying is the exact same as which literally says "find the angle whose sine equals .

Also, think about the unit circle...where is the sine function positive? You are only going to have two answers on the interval

Originally Posted by elizsimca

2.

Keep in mind that saying is the exact same as which literally says "find the angle whose sine equals .

Also, think about the unit circle...where is the sine function positive? You are only going to have two answers on the interval

Sorry. Really, really sorry. I posted the wrong question.

It's suppose to be:
Find all θ in the interval [0,2) that satisfy the equation: