find general solution of cosx-sinx=1
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Answer: x=0
Step-by-step explanation:
given that
cos x -sin x = 1
by squaring both the side
⇒(cos x -sin x)²=1
⇒cos²x +sin²x -2 sin x. cos x = 1
⇒1- 2 sin x. cos x = 1 (∵sin²x + cos²x =1)
⇒2sin x.cos x=0
⇒sin 2x = 0 (∵sin 2a =2 sina. cos a)
⇒sin 2x = sin 0°
by comparing
⇒ 2x = 0
⇒x=0
this equation has a solution x =0
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