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Q.

General solution of trigonometric equation1−cosx=sinx

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a

nπ±π2

b

2nπ±π2

c

2n+1π2 or 2nπ

d

no solution

answer is C.

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Detailed Solution

1−cosx=sinx, here sinx≥0⇒x∈2nπ,2n+1πAlso   1−cosx=sin2x⇒1−cosx=1−cos2x⇒cos2x−cosx=0⇒cosx=0  or  cosx=1⇒x=nπ+π2 or x=2nπ
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