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Find sin(pi/3-sin^(-1)((-1/2)) =...

Find sin(pi/3-sin^(-1)((-1/2))` =

A

1/2'

B

1/3'

C

1/4'

D

1

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The correct Answer is:
D
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V PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Evaluate tan(sin^-1frac(3)(5)+cot^-1frac(3)(2))

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  2. cos ^(-1)(cos ((7 pi)/6)) is equal to A)(7 pi)/6 B)(5 pi)/6 C)pi/3 D)p...

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  3. Find sin(pi/3-sin^(-1)((-1/2)) =

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  4. tan ^(-1) sqrt3-cot ^(-1)(-sqrt3) is equal to A)pi B)(-pi)/2 C)0 D)2 s...

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  5. Find the value of sin ^(-1)(sin ((3 pi)/5))

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  6. show that sin^-1frac(3)(5)-sin^-1frac(8)(17)=cos^-1frac(84)(85)

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  7. Prove that sin^-1frac12(13)+cos^-1frac4(5)+tan^-1frac63(16)=pi

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  8. Simplify tan ^(-1)[(a cos x-b sin x)/(b cos x+a sin x)] if, a/b tan xg...

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  9. Solve tan^-1 2x+tan^-1 3x=pi/4

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  10. Find the value of the following cos^(-1)(cos frac(13pi)6)

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  11. tan ^(-1)(tan((7 pi)/6))=

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  12. Prove that 2 sin^-1(frac(3)(5))=tan^-1(frac(24)(7))

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  13. prove sin ^(-1) ((8)/17)+sin ^(-1)(( 3)/5)=tan ^(-1)(( 77)/(36))

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  14. prove cos ^(-1) (4/5)+cos ^(-1) ((12)/(13))=cos ^(-1) ((33)/(65))

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  15. Prove the following : cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)

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  16. prove the following tan^(-1)frac(63)(16)=sin^(-1)frac(5)(13)+cos^(-1...

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  17. Show that tan^-1frac(1)(5)+tan^-1frac(1)(7)+tan^-1frac(1)(3)+tan^-1f...

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  18. prove that tan^(-1) sqrt x = 1/2 cos^(-1)((1-x)/(1+x)), x in [0,1]

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  19. Prove the following : cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sin...

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  20. prove tan ^(-1)((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x)))=pi/4-1/2 ...

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