If , then the number of possible values of is, where…

MATHEMATICS · Numerical · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

If cos⁡3θ1−sin⁡θ+sin⁡3θ1+cos⁡θ=1+cos⁡θ\frac{\cos^3\theta}{1-\sin\theta}+\frac{\sin^3\theta}{1+\cos\theta}=1+\cos\theta, then the number of possible values of θ\theta is, where θ∈[0,2π]\theta\in[0,2\pi].

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