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If sin^(-1)(1/3)+cos^(-1)x=pi/2,t h e nf...

If `sin^(-1)(1/3)+cos^(-1)x=pi/2,t h e nfin dxdot`

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The correct Answer is:
`x=1/3`
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MODERN PUBLICATION-INVERSE - TRIGONOMETRIC FUNCTIONS-Objective Type Questions (D. Very Short Answer Types Questions)
  1. Find the principal values of the following : sin^(-1) (-(sqrt(...

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  2. Find the principal value of each of the following: i) cos^(-1)(-1/sq...

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  3. Find the principal value of each of the following: cos^(-1)(-(sqrt(...

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  4. Find the principal value of each of the following: i) cos^(-1)(-1/sq...

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

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  6. Find the principal values of the following : tan ^(-1) (-sqrt(3)...

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  7. Find the principal values of each of the following: cot^(-1)(-1/(sq...

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  8. Find the principal values of each of the following: cot^(-1)(-sqrt(...

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  9. Find the principal values of the following : sec^(-1) (-2)

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  10. Find the principal values of the following : sec^(-1) (2/(sqrt(3...

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  11. Find the principal value of the following: (i) cosec^(-1)(2) (ii) ta...

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  12. Find the principal values of the following : "cosec"^(-1) (-sqr...

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  13. If sin^(-1)(1/3)+cos^(-1)x=pi/2,t h e nfin dxdot

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  14. If sec^(-1)(2) +"cosec"^(-1) (y) = pi/2 , then find y .

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  15. Write down the domain of : (i) f(x) = sin^(-1) x (ii) f(x) ...

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  16. Write down the range of : (i) f(x) = cos^(-1)x (ii) f(x) = c...

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  17. Write down the value of "cosec"^(-1)x +sec^(-1) x , when x ge 1 .

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  18. If 4 sin^(-1)x + cos^(-1)x=pi, then: x=

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  19. Evaluate tan^(-1) 1 +cos^(-1) . 1/3 +sin^(-1). 1/3

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  20. sec^(2)(tan^(-1)2) + "cosec"^(2)(cot^(-1)3)=

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