MathCastle
TrigonometryChallengeTrigonometric Identities

Trigonometric Identities · Challenge problem

At every angle xx where the denominator is not zero, the expression 1−sin⁡4x−cos⁡4x1−sin⁡6x−cos⁡6x\dfrac{1 - \sin^4 x - \cos^4 x}{1 - \sin^6 x - \cos^6 x} has the same value. Find it.