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if cot^-1alpha+cot^-1beta=cot^-1x then x...

if `cot^-1alpha+cot^-1beta=cot^-1x` then `x`

A

`alpha+beta`

B

`alpha-beta`

C

`(1+alphabeta)/(alpha+beta)`

D

`(alphabeta-1)/(alpha+beta)`

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The correct Answer is:
D
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
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  13. If a,b,c be positive real numbers and the value of theta=tan^(- 1)sqrt...

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  20. If sin^-1 x + sin^-1 y = (2pi)/3, then cos^-1 x + cos^-1 y =

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