Category: Differential Calculus, Trigonometry
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Prove that
Solution:
Consider the given equation above
Let
Take cosecant on both sides of the equation, we have
Take the derivative on both sides of the equation with respect to x, we have
Next, we need to eliminate csc y cot y in the equation. We know that
but
Hence, the above equation becomes
Finally, the equation becomes
but
Therefore,