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prove sin ^(-1) ((8)/17)+sin ^(-1)(( 3)/...

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

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

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V PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. tan ^(-1)(tan((7 pi)/6))=

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

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

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

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

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

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

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

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

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

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  11. Prove the following : (9pi)/8-9/4 sin^(-1)(1/3)=9/4 sin^(-1) ((2sqrt2...

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  12. Solve the following 2tan^-1(cosx)=tan^-1(2cosecx)

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  13. Solve the following : tan^(-1)((1-x)/(1+x))=1/2 tan^(-1) x (x gt0)

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  14. sin(tan^(-1)x),|x| lt1 is equal to

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  15. sin^(-1)(1-x)-2sin^(-1)x= pi/2,then find x

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  16. tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))=

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  17. Find the principal values cos ^(-1)((-sqrt3)/2 )

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  18. Find the principal values cosec^(-1)((-2))

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  19. Evaluate the following sin [pi/2-sin ^(-1)((-sqrt3)/2)]

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  20. If tan ^(-1)(3/4)=theta, find the value of sin theta

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