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Solve: cos^(2)theta-sinthetacostheta-1...

Solve:
`cos^(2)theta-sinthetacostheta-1/2=0`

Text Solution

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`cos^(2)theta-sinthetacostheta-1/2=0`
`rArr 2cos^(2)theta-2sinthetacostheta-1=0`
`rArr (2cos^(2)theta-1)=2sinthetacostheta`
`rArr cos2theta=sin2theta`
`rArr tan2theta=1`
`rArr tan2theta=tanpi/4`
`rArr 2theta=npi+pi/4`
`rArr theta=(npi)/2+pi/8` Ans.
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