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cos^(2)((pi)/(12))+cos^(2)((3pi)/(12))+c...

`cos^(2)((pi)/(12))+cos^(2)((3pi)/(12))+cos^(2)((5pi)/(12))=` …………

A

`-(1)/(2)`

B

0

C

`(1)/(2)`

D

`(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -TEXTBOOK BASED MCQS
  1. cos((pi)/(7))cos((2pi)/(7))cos((4pi)/(7))= ………..

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  2. sin((pi)/(16))sin((3pi)/(16))sin((5pi)/(16))sin((7pi)/(16))= ………..

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  3. cos^(2)((pi)/(12))+cos^(2)((3pi)/(12))+cos^(2)((5pi)/(12))= …………

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  4. If A=125 and x=sinA^(@)+cosA^(@) then ………..

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  5. The value of sqrt(3)cosec20^(@)-sec20^(@) is …………

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  6. If cosalpha=-(4)/(5),(pi)/(2)ltalphaltpi then tan((alpha)/(2))= ……….

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  7. If tanx=-(4)/(3),(pi)/(2)ltxltpi then sin((x)/(2))= …………

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  8. One of the roots of 4x^(3)-3x=(1)/(2) is ………

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  9. The value of cos(67(1^(@))/(2)) is ………….

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  10. If one of the roots of 25cos^(2)theta+5costheta-12=0 is alpha then the...

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  11. If cosalpha=-0.6andpiltalphalt(3pi)/(2) then tan((alpha)/(4)) = ………..

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  12. If tanx=(b)/(a) then acos(2x)+bsin(2x) = ……….

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  13. If cosA=(3)/(4) then 32sin((A)/(2))sin((5A)/(2)) = ……………

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  14. sqrt(2+sqrt(2+2cos4theta))= …………

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  15. If tan^(2)theta=2tan^(2)phi+1 then the value of cos(2theta)+sin^(2)phi...

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  16. If tan""(alpha)/(2)andtan""(beta)/(2) are roots of the equation 8x^(2)...

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  17. If tan(picostheta)=cot(pisintheta) then the value of cos(theta-(pi)/(4...

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  18. The number of solutions of the equation 3sin^(2)x-7sinx+2=0 in [0,5pi]...

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  19. The general solution of the equation sin^(50)x-cos^(50)x=1 is …………

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  20. The solution set of cos2theta=cos^(2)theta-sin^(2)theta is …………

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