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Find the value of tan[cos^(-1) (1/2) ...

Find the value of
`tan[cos^(-1) (1/2) + tan^(-1) ( - 1/sqrt3)]`

Text Solution

Verified by Experts

The correct Answer is:
`1/sqrt3`
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MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
  1. Prove each of the following tan^(-1) x=-pi +cot^(-1) 1/x=sin^(-1) (x...

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  2. If -1<x<0,t h e ncos^(-1)x is equal to sec^(-1)1/x (b) pi-sin^(-1)sqr...

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  3. Find the value of tan[cos^(-1) (1/2) + tan^(-1) ( - 1/sqrt3)]

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  4. Sin[pi/3-sin^(-1)(-1/2)]

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  5. cos^(-1) ""(cos"" (7pi )/(6))

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  6. tan^(-1)("tan"(2pi)/3)

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  7. cos(tan^(-1)(3/4)) =

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  8. Simplify the following: tan("sin"^(-1)3/5+"cot"^(-1)3/2)

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  9. prove that , sin ^(-1) (cos) . sin ^(-1 )x+cos ^(-1)( sin) . cos ^...

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  10. Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x...

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  11. tan^(-1)((2mn)/(m^2-n^2))+tan^(-1)((2pq)/(p^2-q^2))=tan^(-1)((2MN)/(M^...

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  12. tan(tan^-1x+tan^-1y+tan^-1z)-cot(cot^-1x+cot^-1y+cot^-1z) is equal to

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  13. निम्नलिखित समीकरण को हल कीजिए - tan^(-1)((1-x)/(1+x))=(1)/(2)tan^(-1...

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  14. Prove that 3tan^-1(1/(2+sqrt3))-tan^-1(1/2)=tan^-1(1/3)

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  15. Find the number of values of x in [-pi/4, pi/4] satisfying the equatio...

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  16. Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((...

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  17. Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x...

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  18. cos^(-1)((63)/(65))+2tan^(-1)((1)/(5))=sin^(-1)(3/5)

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  19. Find the value of 2 cos^(-1).(3)/(sqrt13) + cot^(-1).(16)/(63) + (1)/(...

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  20. Prove that cos^(-1) ((5)/(13))+cos^(-1) (-7/25)+sin^(-1) (36)/(325)=...

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