Mathematics

Mathematics

Problem

Consider an acute angle θ\theta in a right–angled triangle. a. (i) Define sin⁡θ\sin\theta and cos⁡θ\cos\theta in terms of the sides of the triangle. b. (ii) Using these definitions, explain why sin⁡(90∘−θ)=cos⁡θ\sin(90^\circ-\theta)=\cos\theta. c. (iii) State the corresponding identity for cos⁡(90∘−θ)\cos(90^\circ-\theta)."

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