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Prove that :2tan^(-1)(1/5)+sec^(-1)((5sq...

Prove that :`2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)\ (1/8)=pi/4`

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`2[\tan ^{-1}(\frac{1}{5})+\tan ^{-1}(\frac{1}{8})]+\sec ^{-1}(\frac{5 \sqrt{2}}{7})`

`2 \tan ^{-1}(\frac{\frac{1}{5}+\frac{1}{8}}{1-\frac{1}{40}})+\tan ^{-1}(\frac{1}{7})`

`2 \tan ^{-1}(\frac{1}{3})+\tan ^{-1}(\frac{1}{7})`

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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
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  2. 4tan^(- 1)(1/5)=tan^(- 1)(1/70)+tan^(- 1)(1/99)+pi/4

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  3. Prove that :2tan^(-1)(1/5)+sec^(-1)((5sqrt(2))/7)+2tan^(-1)\ (1/8)=pi/...

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  6. Solve sin^(-1)(1-x)-2s in^(-1)x=pi/2

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  7. Solve: sin[2\ cos^(-1){cot(2\ tan^(-1)x)}]=0

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  8. Solve the following equation: sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

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  9. Solve for x : tan^(-1)((2x)/(1-x^2))+cot^(-1)((1-x^2)/(2x))=pi/3,-1ltx...

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  10. If cos^-1 (x^2-1)/(x^2+1)+ tan^-1 (2x)/(x^2-1) = (2pi)/3, then x equal...

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  11. If y=cot^(-1)(sqrt(cos"x"))-tan^(-1)(sqrt(cos"x")), prove that siny=ta...

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  16. Evaluate the following: (i) tan{2\ tan^(-1)(1/5)-pi/4} (ii) tan(1/2...

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  19. Prove: tan^(-1)(2/3)=1/2tan^(-1)(12/5)

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  20. Prove the following: tan^(-1)(1/7)+2\ tan^(-1)(1/3)=pi/4

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