Verify that (sinx- cos x)2 = 1 – 2 sin x cos x is an identity.

Question

Verify that (sinx- cos x)2 = 1 – 2 sin x cos x is an identity.

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Mary 2 weeks 2021-09-13T09:37:57+00:00 1 Answer 0

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    2021-09-13T09:39:38+00:00

    Answer:

    LHS = RHS

    Step-by-step explanation:

      {( \sin(x) -  \cos(x) ) }^{2}   \\  =  { \sin(x) }^{2}  +  { \cos(x) }^{2}  - 2 \sin(  x)  \cos(x)  \\ = 1 -  \sin(x )\cos(x)

    Since,

     { \sin(x) }^{2} +   { \cos(x) }^{2}  = 1

    THEREFORE LHS = RHS

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