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cot^2 pi/6 +cose c (5pi)/6 +3tan^2 pi/6 ...

`cot^2` `pi/6` `+cose c` `(5pi)/6` `+3tan^2` `pi/6 ` equals to

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
Given,
`=cot^2((pi)/6)+cosec((5pi)/6)+3tan^2((pi)/6) `
`=cot^2(pi/6)+cosec(pi−pi/6)+3tan^2(pi/6)`
`=cot^2(pi/6)+cosec(pi/6)+3tan^2(pi/6) `
`=sqrt(3)^2+2+3(1/sqrt(3))^2`
`=3+2+1`
`=6`
option `3 ` is correct
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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
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