Question

(1-sin +cos )2=2(1+cos)(1-sin)..this qstn guyzz..​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

         

$\Rightarrow\ (1-\sin\theta +\cos\theta )^2 \\ \\ \Rightarrow\ 1+\sin^2\theta+\cos^2\theta-2\sin\theta-2\sin\theta \cdot \cos\theta+2\cos\theta \\ \\ \Rightarrow\ 1+1-2\sin\theta-2\sin\theta \cdot \cos\theta+2\cos\theta \\ \\ \Rightarrow\ 2-2\sin\theta-2\sin\theta \cdot \cos\theta+2\cos\theta \\ \\ \Rightarrow\ 2(1-\sin\theta-\sin\theta \cdot \cos\theta+\cos\theta) \\ \\ \Rightarrow\ 2(1-\sin\theta+\cos\theta-\sin\theta \cdot \cos\theta) \\ \\ \Rightarrow\ 2(1(1-\sin\theta)+\cos\theta(1-\sin\theta))$

$\Rightarrow\ 2(1+\cos\theta)(1-\sin\theta) \\ \\ \\ Hence proved! \\ \\ \\ Plz ask me if you've any doubt. \\ \\ \\ \\ \\ Thank you. :-))$