Question

If cosx - sinx = √2 sinx , then prove that :- cosx + sinx = √2 sinx

Answer 1

Call sin x = T
Solve this system of equations
cosx+sinx=√2cosx (1)
cosx−sinx=√2T (2)
Add up the 2 equations:

2cosx=√2(cosx+T)
Divide both sides by √2:
√2cosx=cosx+T
T=√2cosx−cosx
From equation (1), we find: --> T = sin x. Proved

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Answer 2

Answer:

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