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  • Fill in the blanks If cos into bracket tan inverse x plus cot inverse square root 3 = 0 , then value of x is

Fill in the blanks
If cos (tan–1x + cot–1 √3) = 0, then value of x is _________.

Answers (1)

If cos (tan–1x + cot–1 √3) = 0, then value of x is \sqrt{3}

Given, cos (tan–1x + cot–1 \sqrt{3}) = 0

\Rightarrow \tan^{-1}x+\cot^{-1}\sqrt{3}=\frac{\pi}{2}

we know that, \Rightarrow \tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}

so, x=\sqrt{3}


 

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infoexpert24

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