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Prove that s in^(-1)(8/(17))+sin^(-1)(3/...

Prove that `s in^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))`

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Prove that 2sin^(-1)(3/5)=tan^(-1)((24)/1)

cos^(-1)(12/13)+sin^(-1)(3/5)="sin"^(-1)56/65

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

sin ^(-1) (3/5)+sin ^(-1) (8/17)=

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tan [sin ^(-1)((3)/(5))-cos ^(-1)(-(4)/(5))]=

sin((1)/(2)"cos"^(-1)(4)/(5))=

Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4

OSWAAL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-SHORT ANSWER TYPE QUESTIONS - II
  1. cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/...

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  2. Solve for x : tan^(-1)x+2cot^(-1)x=(2pi)/3

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  3. Prove that s in^(-1)(8/(17))+sin^(-1)(3/5)=cos^(-1)((36)/(85))

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  4. Solve for "x\ ":tan^(-1)(1-"x")/(1+"x")=1/2"tan"^(-1)"\ x";"x">0

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  5. Prove that 2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)(1/8)=pi/4...

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  6. Prove that: tan^(-1)[(sqrt(1+x)-sqrt(1-x))/(sqrt(1+)x+sqrt(1-x))]=pi/4...

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  7. If tan^(-1)((x-2)/(x-4))+tan^(-1)((x+2)/(x+4))=pi/4, find the value of...

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  8. Solve for x : cos(tan^(-1)x)=sin(cot^(-1)3/4)

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

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  10. Find the value of the following: tan1/2[sin^(-1)(2x)/(1+x^2)+cos^(-1)...

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  11. Prove that : tan^(-1)(1/2)+tan^(-1)(1/5)+tan^(-1)(1/8)=pi/4dot

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  12. Show that: tan(1/2sin^(-1)3/4)=(4\ sqrt(-7))/3

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  13. Solve for x: tan^(-1)3x+tan^(-1)2x=pi/4

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  14. tan^(-1)((3)/(4))+tan^(-1)((3)/(5))-tan^(-1)((8)/(19))=

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  15. Prove that t a n^(-1)((cosx)/(1+sinx))=pi/4-x/2,\ x in (-pi/2,pi/2)

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  16. cos(sin^-1 (3/5)+ cot^-1(3/2)) = 6/(5sqrt13)

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  17. cos^(-1)((4)/(5))+cos^(-1)((12)/(13))=

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  18. Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2

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  19. Prove that: "sin"[cot^(-1){"cos"(tan^(-1)x)}]=sqrt((x^21)/(x^2+2)) ...

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  20. Prove that : 2tan^(-1)((3)/(4))-tan^(-1)((17)/(31))=(pi)/(4).

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