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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-INVERSE TRIGONOMETRIC FUNCTIONS -Exercise
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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. The value of tan[1/2cos^(-1).sqrt5/3] is

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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 4tan^(-...

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  9. If A=tan^-1((xsqrt3)/(2k-x)) and B=tan^-1((2x-k)/(ksqrt3)) then find t...

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  10. If sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x then x equals

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

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

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  13. The value of sin^(-1)(sin 10) is

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

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