Question

if Ɵ=45 degree verify sin2Ɵ = 2sinƟ cosƟ

Answer 1

Sin2∅= 2sin∅cos∅

Sin2(45°)= 2sin45°cos45°. {Sin 45°orCos45°=1}

Sin90° = 2×1/✓2×1✓2

1. = 2/2

1= 1

Answer 2

here is your answer......
sin 2×45=2sin45°cos45°
sin90°=2sin45°cos45°
1 = 2×1÷√2 ×. 1÷√2
1=2÷2
1=1
hence proved