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If tan^-1 x + tan^-1y = pi/4, xy < 1, th...

If `tan^-1 x + tan^-1y = pi/4, xy < 1, then write the value of x +y + xy.

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PRADEEP PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. Write the value of sin [pi/3 - sin^-1(-1/2)]

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  2. Write the value of tan(2 tan^-1 (1//5))

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  3. If tan^-1 x + tan^-1y = pi/4, xy < 1, then write the value of x +y + x...

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  4. Find the principal values of the following: sin^-1(-1/2)

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  5. Find the principal values of the following: cos^-1(sqrt3/2)

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  6. Find the principal values of the following (2-8): cosec^-1(2)

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  7. Find the principal values of the following : tan^-1(-sqrt3)

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  8. Find the principal values of the following: cos^-1(-1/2)

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  9. Find the principal values of the following : tan^-1(-1)

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  10. Find the principal values of the following : sec^-1(-2/sqrt3)

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  11. Find the principal values of the following: cot^-1(sqrt3)

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  12. Find the principal values of the following: cos^-1(-1/sqrt2)

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  13. Find the principal values of the following (2-8): cosec^-1(-sqrt2)

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  14. Find the values of the following tan^-1(1) + cos^-1(-1/2) + sin^-1(-...

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  15. Find the values of the following cos^-1(1/2) + 2 sin^-1(1/2)

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  16. If sin^-1 x = y, then 0 le y le pi

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  17. tan^-1 sqrt3 - sec^-1 (-2) is equal to :

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  18. Prove the following: 3sin^–1 x = sin^–1 (3x – 4x^3), x in [–1/2 , 1/2]

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  19. Prove the following: 3cos^–1 x = cos^–1 (4x^3 – 3x), x in [1/2,1]

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  20. Prove the following: tan^–1 (2/11) + tan^-1 (7/24) = tan^-1 (1/2)

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