Question 1 • Precalculus
Sine is an odd function, so sin(−θ) = −sin(θ); therefore sin(−45°) = −sin(45°), making A true. Cosine is an even function, so cos(−θ) = cos(θ); therefore D is true. Since sin(45°) is positive and cos(45°) is positive, B and C are false, and cosine and sine at −45° are not equal, so E is false.
AI-written and checked against the verified answer.