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If tanx=-(4)/(3),(pi)/(2)ltxltpi then si...

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

A

`-(2)/(sqrt(5))`

B

`(2)/(sqrt(5))`

C

`(1)/(sqrt(5))`

D

`(3)/(5)`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -TEXTBOOK BASED MCQS
  1. The value of sqrt(3)cosec20^(@)-sec20^(@) is …………

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The number of points of intersection of the graphs 2y=1 and y=sinx,-2p...

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  18. The real solutions of the equation cos^(7)x+sin^(4)x=1 in (-pi,pi) are...

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  19. The solution set of sintheta+costheta=2 is ………

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  20. If 3sintheta=2costheta then the value of sin2theta is …………..

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