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If cos(tan^(-1)x+cot^(-1)sqrt(3))=0 , fi...

If `cos(tan^(-1)x+cot^(-1)sqrt(3))=0` , find the value of `xdot`

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`tan^(-1)x+cot^(-1) sqrt 3=cos^(-1)0`
`=tan^(-1)x+cot^(-1)sqrt 3=frac{pi}{2}`
`tan^(-1)x=pi/2-cot^(-1) sqrt 3`
`tan^(-1)x=tan^(-1)sqrt 3`
`x=sqrt 3`
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RD SHARMA-INVERSE TRIGONOMETRIC FUNCTION-Solved Examples And Exercises
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  2. Write the value of cos((tan^(-1)x+cot^(-1)x)/3) , when x=-1/(sqrt(3)) ...

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  3. If cos(tan^(-1)x+cot^(-1)sqrt(3))=0 , find the value of xdot

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  5. If cos((sin^(-1)2)/5+cos^(-1)x)=0 find the value of xdot

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  6. Find the value of the following: cos^(-1)(cos(13pi)/6)

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  7. 8. Find the principal value of tan^-1( tan (9pi)/8)

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  19. If u=cot^-1 sqrt(tanalpha)-tan^-1 sqrt(tan alpha), then tan(pi/4-u/2) ...

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