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The value of tan[cos^(-1)(4/5)+tan^(-1)(...

The value of `tan[cos^(-1)(4/5)+tan^(-1)(2/3)]` is `6/(17)` (b) `7/(16)` (c) `(16)/7` (d) none of these

A

`6/17`

B

`7/16`

C

`17/6`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
  1. The value of cos(2cos^(-1)0.8) is

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  2. If 0 le x le 1 then cos^(-1)(2x^(2)-1) equals

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  3. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

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  4. Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5))/3}

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  5. about to only mathematics

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  6. The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx) -sqr...

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  7. The value of sin[cot^(-1){cos(tan^(-1) x)}] is

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  8. If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4ta...

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  9. If A=tan^(-1)((x sqrt(3))/(2k-x)) and B= tan^(-1)((2x-k)/(k sqrt(3))),...

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  10. Solve sin^(-1) x + sin^(-1) (1 - x) = cos^(-1) x

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  11. If -1 le x le 0 then cos^(-1)(2x^(2)-1) equals

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  12. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

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  13. sin^(-1)(sin10) is a+bpi then |a+b| is

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  14. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is :

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  15. The value of sin^(-1)(cos((33pi)/5)) is (a) (3pi)/5 (b) -pi/(10) (c) p...

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  16. Find the smallest and the largest values of tan^(-1) ((1 - x)/(1 + x))...

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  17. The least and the greatest values of (sin^(-1)x)^3+(cos^(-1)x)^3 are (...

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  18. If a le 1/32 then the number of solution of (sin^(-1) x)^(3) +(cos^(...

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  19. If x takes negative permissible value then sin^(-1)x=

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  20. If -1 le x le -(1)/sqrt(2) then sin^(-1)2xsqrt(1-x^(2)) equals

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