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If (2tan^(2)30^(@))/(1-tan^(2)30^(@))+s...

If `(2tan^(2)30^(@))/(1-tan^(2)30^(@))+sec^(2)45^(@)-sec^(2)0^(@)=xsec60^(@)` , then the value of x is

A

2

B

1

C

0

D

-1

Text Solution

Verified by Experts

The correct Answer is:
B
`(2tan^(2) 30^@)/(1-tan^(2) 30^@) + sec^(3) 45^@ - sec^(2)0^@ = xsec60^@`
`implies tan30^@ xx tan60^@ + (sqrt2)^2 - (1)^2 = x xx 2`
`implies 1 + 2 - 1 = 2x`
`implies 2x = 2`
`implies x = 1`
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