Question

Complete the identity?
sinx/cosx + cosx/sinx=

Answer 1

Answer on Question #81507 – Math – Trigonometry

Question

Compete the identity?

$$\sin x / \cos x + \cos x / \sin x =$$

Solution

$$\sin x / \cos x + \cos x / \sin x = ((\sin x)^2 + (\cos x)^2) / (\sin x \cdot \cos x) = 1 / (\sin x \cdot \cos x) = 2 / (2 \cdot \sin x \cdot \cos x) = 2 / \sin (2x) = 2 \cdot \csc (2x).$$

Answer: 2/sin(2x)=2cosec(2x).

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