Prove that Sin2theta +cos2theta =1
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Solution :-D
Let a, b, c be lengths of right
angled triangle
By definition
Sin 0 = b/c (hypotenuseopposite side)
Cos 0 = a/c (hypotenuseadjacent side)
Sin2 0 + cos2 0 = c2 b2 + c2 a2 = c2 a2 + b2
From Pythagoras theorem
C2 = a2 + b2
... C2 a2 + b2 = 1
Sin2 0 + cos2 0 = 1
Hence, proved.
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