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If tan theta =1/2 and theta …

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If tan theta =1/2 and theta is an acute angle ,then prove that 1/2 sin theta cos theta =1/5

    • Posted by Rambir Singh 6 years ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Aadya Singh ? 6 years ago

    Sorry....2/10 = 1/5.

    4Thank You

    Aadya Singh ? 6 years ago

    Tan theta = 1/2 = P/B.
    Now, by P.T , we get, Hypotenuse = √5.
    So, Sin theta = 1/√5 and cos theta = 2/√5.
    LHS = 1/2 sin theta × cos theta.
    1/2 × 1/√5 × 2/√5 .
    2/10
    => 1/2 .
    Now, LHS = RHS.
    So, it's prove...

    4Thank You

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