How Sin²θ + Cos²θ = 1 ?
According to Pythagoras theorem,
"the square of hypotenuse(H) is equal to the sum of square of base(B) and perpendicular(P)"
i.e. H² = B² + P²
(Dividing both sides by H²)
we get,
H²/H² = B²/H² + P²/H²
1 = Sin²θ + Cos²θ
....(B/H = sinθ and P/H = cosθ)
Hence, Sin²θ + Cos²θ = 1
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