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TrigonometryChallengeTrigonometric Identities

Trigonometric Identities · Challenge problem

An angle θ\theta with 0∘<θ<90∘0^\circ < \theta < 90^\circ satisfies cos⁡θ1−sin⁡θ+cos⁡θ1+sin⁡θ=4\dfrac{\cos\theta}{1 - \sin\theta} + \dfrac{\cos\theta}{1 + \sin\theta} = 4. Find θ\theta in degrees.