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Choose the correct answer in each of the following questions:
If `tan theta=sqrt(3) " then " sec theta=?`

A

`(2)/(sqrt(3))`

B

`(sqrt(3))/(2)`

C

`(1)/(2)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
`tantheta=(BC)/(AB)=(sqrt(3))/(1)=(sqrt(3)x)/(x)rArrBC=sqrt(3)x and AB=x.`
`therefore AC^(2)=AB^(2)+BC^(2)=x^(2)+3x^(2)=4x^(2)rArr AC=2x.`
`therefore sectheta=(AC)/(AB)=(2x)/(x)=2.`
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RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Multiple Choice Questions (Mcq)
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