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If theta(0 letheta le90^(@)) and 4 cos...

If `theta(0 letheta le90^(@))` and
`4 cos^(2)theta -4 sqrt3 cos theta +3=0,` then the value of `theta` is

A

`30^(@)`

B

`90^(@)`

C

`45^(@)`

D

`60^(@)`

लिखित उत्तर

Verified by Experts

The correct Answer is:
a
`4cos^(2)theta-4sqrt(3)cos theta+3=0`
Hit `&` trial method
Put `theta=30^(@)` option(a)
`4cos^(2)30^(@)-4sqrt(3)cos30^(@)+3=0`
`4((3)/(4))-4sqrt(3)((sqrt(3))/(2))+3=0`
`0=0`
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