Question

sin4-cos4/sin2-cos2=1

Answer 1

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Answer 2

Hii There !!!
Here is your answer. ...
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First, your question is like that Sin 4 thetha - Cos 4 thetha / sin 2 thetha - cos 2 thetha = 1
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So , Taking LHS
=> sin 4 thetha - Cos 4 thetha / sin 2 thetha - cos 2 thetha

=>( sin2 thetha )^2 - ( cos 2thetha )^2 /sin 2thetha - cos 2 thetha

=> ( sin ^ 2 thetha + cos ^ 2 thetha ) ( sin^2 thetha - cos ^2 thetha / sin 2thetha -cos 2thetha

=> So , It will cancelled and the remaining part is sin^2 thetha + cos ^2 thetha .....
so it will be 1 ....
Hence Proved