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If cos(alpha+beta)=(4)/(5),sin(alpha-bet...

If `cos(alpha+beta)=(4)/(5),sin(alpha-beta)=(5)/(13),0ltalpha,betalt(pi)/(4)` then `tan2alpha` = …………

A

`(16)/(63)`

B

`(56)/(33)`

C

`(28)/(33)`

D

None of these

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-TRIGONOMETRIC FUNCTIONS -TEXTBOOK BASED MCQS
  1. If cosalpha=-0.6andpiltalphalt(3pi)/(2) then tan((alpha)/(4)) = ………..

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

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

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  4. sqrt(2+sqrt(2+2cos4theta))= …………

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

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

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

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

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

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

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

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

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

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

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  15. tan^(6)40^(@)-33tan^(4)40^(@)+27tan^(2)40^(@) = …………

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  16. theta(1),theta(2)in[0,2pi]andtheta(1) and theta(2) satisfy the equatio...

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  17. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) then (tanx)/(tany) = …………

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  18. Trigonometric point P((101pi)/(3)) lies in………quadrant.

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  19. If cos(alpha+beta)=(4)/(5),sin(alpha-beta)=(5)/(13),0ltalpha,betalt(pi...

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  20. The number of solutions of the equation 16^(sin^(2)x)+16^(cos^(2)x)=10...

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