Given that sin theta +2 cos theta =1, then prove that 2 sin theta -cos

1.	Given that sin theta +2 cos theta =1, then prove that 2 sin theta -cos theta =2
Answer» Given that sin theta + 2 cos theta=1Cos theta = 1 - sin theta by 2. (-1)Now we need to prove that 2 sin theta - cos theta=2. (-2)Now put the value of equation 1 in eq 2 We have2 sin theta -(1 - sin theta by 2)=24 sin theta - 1 + sin theta by 2=24 sin theta + sin theta - 1 = 4Sin theta =1. Put the value of sin theta in 1 equationCos theta=1-1 by 2Cos theta=0Put the value in 2 equation2*1-0=22=2Hence proved

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