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The general solution of the trigonometi...

The general solution of the trigonometic equation `"sin"x + "cos"x = 1` is given by

A

`x = 2npi`

B

`x = 2n pi + 1/2 pi`

C

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

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The general solution of the trigonometric equation sin x – cos x = 1 is given by

    A
    `x = 2 n pi, n in I`
    B
    `x = n pi + (-1)^n pi/4 + pi/4 , n in I`
    C
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    D
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  • The general solution of the trigonometrical equation sin x +cosx=1 is

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    `x=2n pi, n in I`
    B
    `x=2n pi +pi//2, n in I`
    C
    `x=n pi +(-1)^(n)pi//4-pi//4, n in I`
    D
    none of these

  • The general solution of the trigonometrical equation sin x + cosx = 1 , for n = 0 ,pm 1 , pm 2,. …….. is given by

    A
    `x = 2npi`
    B
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    C
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    D
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