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The general solution ofthe trigonometrical equation `sinx+cosx=1` for `n=0, +- 1, +-1` is given by (a) `x=2npi` (b) `x=2npi+pi/2` (c) `x=npi+(-1)^npi/4-pi/4` (d) non of these

A

`x=2npi`

B

`x=2npi+pi//2`

C

`x=npi+(-1)^(n)pi//4-pi//4`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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