MathCastle
PrecalculusChallengeTrigonometric Functions

Trigonometric Functions · Challenge problem

Evaluate exactly and rationalize:

sin⁡5π6+cos⁡5π3tan⁡2π3−sec⁡5π4.\frac{\sin\frac{5\pi}{6}+\cos\frac{5\pi}{3}}{\tan\frac{2\pi}{3}-\sec\frac{5\pi}{4}}.