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prove cos ^(-1) (4/5)+cos ^(-1) ((12)/(1...

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

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Prove that sin ^(-1) (4/5)+sin ^(-1) (5/(13))+sin ^(-1) ((16)/(65))=pi/2

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

Prove that cos ^(4) (pi)/(8)+cos ^(4) (3 pi)/(8)+cos ^(4) (5 pi)/(8)+cos ^(4) (7 pi)/(8)=(3)/(2)

Show that cos^-1(4/5)+cos^-1(12/13)=tan^-1(56/33)

Show that sin^-1(3/5)-cos^-1(12/13)=cosec^-1(65/16)

cos ^(-1) [ cos ((7pi)/(5))] is equal to

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

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

Prove that cos^(-1)((1-x^(2n))/(1+x^(2n)))=2 tan^(-1)x^n

cos^-1(5/13)-sin^-1(12/13)=..........

V PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. Prove that 2 sin^-1(frac(3)(5))=tan^-1(frac(24)(7))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Prove that tan ^(-1) (1/7)+tan ^(-1)( (1)/(13))=tan ^(-1)( 2/9)

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