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The general solution of the trigonometric equation `sinx+cosx=1` is given by `x=2npi,n0,+-1,+-2` `x=2npi+pi/2; n=0,+-1,+-2, dot` `x=npi+(-1)^npi/4-pi/4n=0,+-1,+-2, ` `non eoft h e s e`

A

`x = 2 n pi`

B

`x = 2 n pi + (pi)/(2)`

C

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

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
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  2. If "tan" 2 theta "tan" theta =1, "then" theta =

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  3. The general solution of the trigonometric equation sinx+cosx=1 is give...

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  4. If sin5x+sin3x+sinx=0 ,then the value of x other than 0 lying between ...

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  5. Find the general values of theta which satisfies the equation tan th...

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  6. The values of theta satisfying "sin" 7 theta = "sin" 4 theta -"sin" th...

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  7. If alpha,beta are the different values of x satisfying acosx+bsinx=c t...

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  8. The equation a "sin" x+b "cos" x = c, " where"|c| gt sqrt(a^(2) + b^(2...

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  9. If alpha is a root of 25"cos"^(2) theta+ 5"cos" theta-12 = 0, (pi)/(2)...

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  10. If "cos 3x + "sin" (2x - (7pi)/(6)) =-2, then x =

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  11. The number of solutions of 2"cos"^(2)((x)/(2))"sin"^(2) x =x^(2) + (1)...

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  12. If A and B are acute positive angles satisfying the equations 3 "sin"^...

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  13. The equation "sin" theta = x +(p)/(x) for real values of x is possible...

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  14. If "sin" A = "sin"B, "cos"A = "cos"B, then the value of A im terms of ...

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  15. Solve 5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi.

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  16. If (1+tantheta)(1+tanphi)=2 then theta+phi=

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  17. The general solution of "tan" 3x =1, is

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  18. If 1+sintheta+sin^2theta+sin^3theta+..to oo=4+2sqrt3 0<theta<pi, t...

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  19. If alpha and beta are the solutions of the equation atan theta+ b s...

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  20. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

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