Math  /  Trigonometry

Question10sinθ+cosθcotanθ=cosecθ10-\sin \theta+\cos \theta \cot a n \theta=\operatorname{cosec} \theta

Studdy Solution
Solve the factored equation:
1. sinθ=0\sin \theta = 0
2. 102sinθ=010 - 2\sin \theta = 0

For sinθ=0\sin \theta = 0, θ=nπ\theta = n\pi, where nn is an integer.
For 102sinθ=010 - 2\sin \theta = 0:
2sinθ=102\sin \theta = 10 sinθ=5\sin \theta = 5
Since sinθ\sin \theta cannot be greater than 1, this part has no solution.
Thus, the solution is:
θ=nπ\theta = n\pi, where nn is an integer.
The solution for θ\theta is:
θ=nπ\theta = n\pi, where nn is an integer.

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