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13-03-2020
Mathematics

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

Respuesta :

13-03-2020

Answer:

LHS = RHS

Step-by-step explanation:

[tex] {( \sin(x) - \cos(x) ) }^{2} \\ = { \sin(x) }^{2} + { \cos(x) }^{2} - 2 \sin( x) \cos(x) \\ = 1 - \sin(x )\cos(x) [/tex]

Since,

[tex] { \sin(x) }^{2} + { \cos(x) }^{2} = 1[/tex]

THEREFORE LHS = RHS

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