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Prove that sin^(-1)(8/(17))+sin^(-1)(3/5...

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

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Prove that : sin^(-1)(8/(17))+sin^(-1)(3/5)=sin^(-1)((77)/(85))=tan^(-1)((77)/(36))

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Prove that sin^(- 1)(8/17)+sin^(- 1)(3/5)=sin^(- 1)(77/85)

Prove that sin^(-1)(3/5)+cos^(-1)(15/17)=cos^(-1)(36/85)

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Solve sin^(-1)x+sin^(-1)2x=pi/3dot

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  2. Solve the following equations: sin^(-1)((3x)/5)+sin^(-1)((4x)/5)=sin^...

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

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  4. The value of tan^-1(1/3)+tan^-1(2/9)+tan^-1(4/33)+tan^-1(8/129)+....n ...

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  5. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

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  6. Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cota)+tan^(-1)(cot^3A)={0 when...

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  7. "If"sin{cot^(-1)(x+1)}=cos(tan^(-1)x), then find x.

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  8. Solve the following equation for x : "cos"(tan^(-1)x)=sin(cot^(-1)3/...

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  9. Write each of the following in the simplest form: cot^(-1){a/(sqrt(x...

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  10. Evaluate: sin(cot^(-1)x)

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  11. Simplify each of the following: sin^(-1)((sinx+cosx)/(sqrt(2)))

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  12. Evaluate the following: sin^(-1)(sin 10)

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  13. Prove that: sec(tan^-1 1)+cos e c(cot^(-1) 1)=4

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

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  15. Evaluate: sin(cos^(-1)3/5+cos e c^(-1)(13)/5)

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  16. Find the value of the expression sin[cot^(-1){cos (pi/2)}]

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  17. Write the value of sin{pi/3-sin^(-1)(-1/2)}

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  18. If tan^(-1)x+tan^(-1)y=pi/4, then write the value of x+y+x ydot

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  19. Prove that 2tan^(-1)(sqrt((a-b)/(a+b))tan(theta/2))=cos^(-1)((acosthet...

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  20. Solve the following equation for x : tan^(-1)(1/4)+2tan^(-1)(1/5)+...

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