From a Sum to Double Angles

★ 5/10trigonometryTrigonometric Identities

Problem

Given that sin⁡x+cos⁡x=13\sin x+\cos x=\dfrac 13 and 0<x<π0<x<\pi, find sin⁡2x+cos⁡2x\sin 2x+\cos 2x.

Answer

Solution

Difficulty5/10
Topicstrigonometry, Trigonometric Identities

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