If cos Θ + sin Θ = √2 cos Θ; show that cos Θ - sin Θ = √2 sin Θ.

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Originally Posted by snigdha If cos Θ + sin Θ = √2 cos Θ; show that cos Θ - sin Θ = √2 sin Θ. Divide the first of those equations by to see that . Similarly, the second equation is equivalent to . Now complete the argument by showing that ,