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Find the value of the following: tan1/2[...

Find the value of the following: `tan1/2[sin^-1(2x/(1+x^2)) + cos^-1(1-y^2)/(1+y^2)], |x|<1, y>0 ਅਤੇ xy<1`

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Find the value of the following: tan^-1[2 cos(2sin^-1(1/2))]

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  2. Find the value of each of the following: cot(tan^-1 a + cot^-1 a )

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

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  4. If 'sin(sin^-1(1/5) + cos^-1x)=1, then find the value of 'x'

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

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  6. Find the values of each of the expressions sin^-1(sin((2pi)/3))

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  7. Find the value of the following tan^-1(tan(3pi)/4)

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  8. Find the values of each of the expressions tan(sin^-1(3/5) + cot^-1(...

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  9. cos^(-1)(cos""(7pi)/(6)) is equal to

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  10. Find the value of each of the following:

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  11. sin(pi/3 - sin^-1(-1/2)) is equal to

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  12. tan^-1 (sqrt3) -cot^-1 (-sqrt3) is equal to :

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  13. Find the value of cos^-1 ( cos 10)

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  14. Find the value of the following: tan^-1(tan(7pi/6))

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  15. Prove that : 2sin^-1 (3/5) = tan^-1 (24/7)

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

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

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

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

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  20. Prove that : tan^-1(1/3) + tan^-1(1/5) + tan^-1(1/7) + tan^-1(1/8) = p...

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