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If cottheta+tantheta=2cosectheta, the ge...

If `cottheta+tantheta=2cosectheta`, the general value of `theta` is

A

`npipm(pi)/(3)`

B

`npipm(pi)/(6)`

C

`2npipm(pi)/(3)`

D

`2npipm(pi)/(6)`

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. If cos40^(@)=xandcostheta=1-2x^(2), then the possible values of theta ...

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  2. If sintheta=sqrt(3)costheta,-pi<theta<0, then the value of theta is

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  3. If cottheta+tantheta=2cosectheta, the general value of theta is

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  4. General solution of tantheta+tan((pi)/(2)-theta)=2 is

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  5. Find the most general value of theta which satisfies the equation s...

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  6. If n is any integer, then the general solution of the equation cosx-si...

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  7. 1+cottheta="cosec"theta

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  8. The general solution of sinx-cosx=sqrt(2), for any integer n is

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

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

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  11. tantheta+sectheta=sqrt(3)

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

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

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

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

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

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

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

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

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

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