Pre-Calculus: Angles in an interval?

Science & Mathematics by Anonymous 2018-06-06 15:34:12

Social Science

1 answer

Solve for all exact value angles in the interval [0, 2π) that satisfy the equation cosθ+sinθ=1 Couldn't figure this one out, thank you!

Anonymous

Sketch them and you will see that this is only true when one value is 1 (and the other by definition is 0). cosθ+sinθ=1 means cosθ=1 or sinθ=1 So in the range θ is 0 or π/2 Graph: https://www.desmos.com/calculator/wijlvj...