Math  /  Trigonometry

QuestionProve that cos2ϕ1sinϕ=1+sinϕ\frac{\cos ^{2} \phi}{1-\sin \phi}=1+\sin \phi, where sinϕ1\sin \phi \neq 1, by expressing cos2ϕ\cos ^{2} \phi in terms of sinϕ\sin \phi.

Studdy Solution
The simplified expression 1+sinϕ1 + \sin \phi matches the right-hand side of the given identity, thus proving the identity:
cos2ϕ1sinϕ=1+sinϕ \frac{\cos^{2} \phi}{1-\sin \phi} = 1 + \sin \phi
The identity is proven.

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