Question

prove that sin 45 = cos 45​

Answer 1

Use sin 45 = 1 / root 2
Use cos 45 = 1 / root 2.
Sin 45 = cos 45
I / root 2 = I / root 2
( OR )
Sin 45 = Cos 45
We know that Cos ( 90 - A ) = Sin A
Sin 45 = Cos ( 90 - 45 )
Sin45 = Sin 45

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And for further answering

Answer 2

sin 45° = cos 45°

sin 45° = sin(90-45)°

Sin 45° = Sin 45°

0 because Sin 45° and Sin 45° Cancel

So, Sin45° = Cos 45°

Hence, it is proved that

Sin 45° = Cos 45°