Prove that (90^ + ) (- ) (180^ - ) (360^ - ) (180^ + ) (90^ - ) = -1.

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Prove thatcos⁡(90∘+θ)sec⁡(−θ)tan⁡(180∘−θ)sec⁡(360∘−θ)sin⁡(180∘+θ)cot⁡(90∘−θ)=−1.\frac{\cos(90^\circ + \theta) \sec(-\theta) \tan(180^\circ - \theta)}{\sec(360^\circ - \theta) \sin(180^\circ + \theta) \cot(90^\circ - \theta)} = -1.

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