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