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If sin^(2)x-2cosx+(1)/(4)=0, then x has ...

If `sin^(2)x-2cosx+(1)/(4)=0`, then x has value

A

`2npi+(pi)/(4)`

B

`2npipm(pi)/(3)`

C

`2npi+(pi)/(6)`

D

`2npi+(pi)/(12)`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. The general solution of sinx-cosx=sqrt(2), for any integer n is

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  2. cottheta + cot(pi/4 + theta)=2

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  3. If sin^(2)x-2cosx+(1)/(4)=0, then x has value

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  4. tantheta+sectheta=sqrt(3)

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  5. If r sintheta=3,r=4(1+sintheta),0lethetale2pi,"then "theta=

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  6. The general value of theta satisfying the equation 2sin^(2)theta-3sint...

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  7. If 2cos^(2)x+3sinx-3=0,0lexle180^(@), then x =

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  8. If 4 sin^2 theta + 2(sqrt3 + 1) cos theta = 4 + sqrt3 then the gen...

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  9. If sin(A+B)=1andcos(A-B)=(sqrt(3))/(2), then the smallest positive val...

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  10. If cos7theta=costheta-sin4theta, then the general value of theta is

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  11. If (1-tan^2theta)/(sec^2theta)=1/2 then the general value of theta is

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  12. sqrt(3)tan2theta+sqrt(3)tan3theta+tan2thetatan3theta=1

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  13. If tantheta+tan2theta+tan3theta=tanthetatan2thetatan3theta, then the g...

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  14. If 2tan^(2)theta=sec^(2)theta, then the general solution of theta-

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  15. General solution of the equation tanthetatan2theta=1 is given by

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  16. Solve: sin3alpha=4sinalphasin(x+alpha)sin(x-alpha),w h e r ealpha!=npi...

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  17. If costheta+cos3theta+cos5theta+cos7theta=0, then general value of the...

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  18. If in a triangle ABC, (cosA)/a=(cosB)/b=(cosC)/c,then the triangle is

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  19. In a triangle ABC, if a = 2, b = 3 and c=4, then cos A is equal to

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  20. In triangleABC, If the anlges are in A.P., and b:c=sqrt(3):sqrt(2), t...

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