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यदि theta धनात्मक न्यूनकोण है और 4cos^(...

यदि `theta` धनात्मक न्यूनकोण है और `4cos^(2)theta-1=0` है तो `tan(theta-15^(@))` का मान किसके बराबर होगा?

A

0

B

1

C

`sqrt(3)`

D

`(1)/(sqrt(3))`

लिखित उत्तर

Verified by Experts

The correct Answer is:
b

`4cos^(2)theta-1=0`
`4cos^(2)theta=1`
`cos^(2)theta=(1)/(4)`
`cos theta=(1)/(2)=cos60^( @)`
`theta=60^(@)`
`rArrtan(60^(@)-15^(@))rArrtan45^(@)=1`
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