Learn What Is The Formula Of 1 Cos X Sin X

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# What is the formula of (1 - cos x) / sin x?

**Solution:**

As we know that (1 - cos x) = 2sin^{2 }(x/2) and sin x = 2sin (x/2).cos (x/2)

(1 - cos x) = 2sin^{2 }(x/2) ---- (1)

sin x = 2sin (x/2).cos (x/2) ---- (2)

(1 - cos x) / sinx = 2sin^{2 }(x/2) / 2sin (x/2).cos (x/2) [From (1) and (2)]

On taking 2sin (x/2) common and cancelling, we get

(1 - cos x) / sinx = sin (x/2) / cos (x/2)

= tan (x/2) [ ∵ tan x = sin x / cos x]

Thus, (1 - cos x) / sin x = tan (x/2)

## What is the formula of (1 - cos x) / sin x?

**Summary:**

The formula of (1 - cos x) / sin x = tan (x/2)

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