Question

(1 - sin A + cos A)square = 2 (1 - sin A) (1 + cos A)​

Answer 1

Answer:

You will be squaring a quantity that contains both sinx and cosx, so you will need the identity sin2x+cos2x=1. I would start by multiplying both of these out.

(1+sinx+cosx)2=1+sinx+cosx+sinx+sin2x+sinxcosx+cosx+sinxcosx+cos2x

=1+2sinx+2cosx+sin2x+cos2x+2sinxcosx

while

2(1+sinx)(1+cosx)=2(1+cosx+sinx+sinxcosx)=2+2cosx+2sinx+2sinxcosx

Compare:

1+sin2x+cos2x+2sinx+2cosx+2sinx

Step-by-step explanation:

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