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If (sin^(2)theta-5sintheta+3)/(cos^(2)th...

If `(sin^(2)theta-5sintheta+3)/(cos^(2)theta)`=1, then `theta` can be _______.

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

`0^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`sin^(2)theta-5sintheta+3=cos^(2)theta`
`rArrsin^(2)theta-5sintheta+3=1-sin^(2)theta`
`rArr2sin^(2)theta-5sintheta+2=0`
`rArr(2sintheta-1)(sintheta-2)=0`
`But sintheta=2` is not possible
`thereforesintheta=(1)/(2)rArrtheta=30^(@)`
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