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Prove that cos^-1x=2sin^-1sqrt((1-x)/2)...

Prove that `cos^-1x=2sin^-1sqrt((1-x)/2)`

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BODY BOOKS PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Evaluate cos(sin^-1((-4)/5))

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

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  3. Prove that cos^-1x=2sin^-1sqrt((1-x)/2)

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  4. The principal value of sin^-1((-1)/2).

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  5. Solve cot(tan^-1(x)+cot^-1(x))

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

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  7. Solve 2tan^-1(cosx)=tan^-1(2cosx)

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

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

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

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

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

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

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

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  15. Choose the correct answer from the bracket. if cos^-1x=y,then y is...

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  16. find the value of cos^-1cos((7pi)/3)

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  17. Solve for x if,tan^-1(frac(1+x)(1-x))=2tan^-1x

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  18. Choose the correct answer from the bracket. cos(tan^-1x),|x|<1 is ...

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  19. Prove that sin^-1frac(4)(5)+sin^-1frac(5)(13)=sin^-1frac(63)(65)

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  20. Choose the correct answer from the bracket tan^-1((1-tanx)/(1+tanx)) e...

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