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Solve the equation sin^(-1)x+sin^(-1)6sq...

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

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RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Show that sin^-1 (3/5)+cos^-1(12/13)=cos^-1(33/65)=sin^-1(56/65)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Evaluate: sin(2\ sin^(-1)0. 6)

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  18. Evaluate: sin(3\ sin^(-1)0. 4)

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  19. Prove the following: tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3...

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  20. Evaluate intsin7x\dx

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