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Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13...

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

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Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that cot^(-1).(3)/(4) + sin^(-1).(5)/(13) = sin^(-1).(63)/(65)

Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

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

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

Prove that : cos^(-1).(3)/(5)+ cos^(-1).(12)/(13) = sin^(-1)((63)/(65))

Prove that: tan^(-1)(63/16)=sin^(-1)(5/13)+cos^(-1)(3/5)

Prove that: sin^(-1)((12)/(13))+cos^(-1)(4/5)+tan^(-1)((63)/(16))=pi

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Prove that:cos^(-1)(12/13)+sin^(-1)(3/5)=sin^(-1)(56/65)

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  2. Prove each of the followingsin^(- 1)(3/5)+sin^(- 1)(8/17)=sin^(- 1)(77...

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

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

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  5. Show that sin^-1 (3/5)+cos^-1(12/13)=cos^-1(33/65)=sin^-1(56/65)

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  6. sin^(-1)(3x)/5+sin^(-1)(4x)/5=sin^(-1)x , then roots of the equatio...

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  7. Solve the equation sin^(-1)x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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  8. Evaluate: cos(sin^(-1)3/5+sin^(-1)5/(13))

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  9. Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

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  10. Prove that : tan^(-1)(63)/(16)=sin^(-1)5/(13)+cos^(-1)3/5

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  11. Prove that:(9pi)/8-9/4sin^(-1)1/3=9/4sin^(-1)(2sqrt(2))/3

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  12. solve:sin^-1x+sin^-1 2x=pi/3

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

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  14. Show that sin^(-1)(3/5)-sin^(-1)(8/(17))=cos^(-1)(84/85) .

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  15. If cos^(-1)(x/a)+cos^(-1)(y/b)=alpha, prove that (x^2)/(a^2)-2(x y)/(a...

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  16. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, prove that x^2+y^2+z^2+2x y z=1.

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  17. If cos^(-1) (x/2) + cos^(-1) (y/3) =alpha then prove that 9x^2-12xycos...

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  18. Solve the equation: cos^(-1)(a/x)-cos^(-1)(b/x)=cos^(-1)(1/b) - cos...

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  19. Solve: cos^(- 1)xsqrt(3)+cos^(- 1)x=pi/2

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

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