If , where , then which of the following can be…

MATHEMATICS · Multi correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If 2cos⁡θ+22=3sec⁡θ2\cos\theta+2\sqrt{2}=3\sec\theta, where θ∈(0,2π)\theta\in(0,2\pi), then which of the following can be correct? (1) cos⁡θ=12\cos\theta=\frac{1}{\sqrt{2}} (2) tan⁡θ=1\tan\theta=1 (3) sin⁡θ=−12\sin\theta=-\frac{1}{\sqrt{2}} (4) cot⁡θ=−1\cot\theta=-1

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