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Given that sin theta +2 cos …

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

    • Posted by Khushi Sharma 5 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    M.......... Duhan 5 years, 11 months ago

    Given that sin theta + 2 cos theta=1 Cos 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 have 2 sin theta -(1 - sin theta by 2)=2 4 sin theta - 1 + sin theta by 2=2 4 sin theta + sin theta - 1 = 4 Sin theta =1. Put the value of sin theta in 1 equation Cos theta=1-1 by 2 Cos theta=0 Put the value in 2 equation 2*1-0=2 2=2 Hence proved

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