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If sin (sin ^(-1) (1/5)+cos ^(-1) x) = 1...

If `sin (sin ^(-1) (1/5)+cos ^(-1) x) = 1`, then find the value of `x`

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V PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Find the value of cot(tan^(-1) a + cot^(-1) a)

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  2. Find the values of the following tan frac(1)(2) [sin^(-1)((2x)/(1+x...

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  3. If sin (sin ^(-1) (1/5)+cos ^(-1) x) = 1, then find the value of x

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  4. If tan^(-1) ((x-1)/(x-2)) + tan^(-1) ((x+1)/(x+2)) = pi/4. then find t...

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  5. Find the value of sin^(-1)sin((2pi)/3)

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  6. Find the values of the following : tan^(-1)(tan frac (3pi)4)

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  7. Evaluate tan(sin^-1frac(3)(5)+cot^-1frac(3)(2))

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

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

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

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

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

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

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

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

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

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

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

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

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