Answer:
∅ = 90°
Step-by-step explanation:
Given;
sin2∅=2sin∅
sin2∅ = 2sin∅Cos∅
but, Sin²∅ + Cos²∅ = 1
Cos²∅ = 1 - Sin²∅
Cos ∅ = √(1 - Sin²∅)
sin2∅=2sin∅ ↓
2sin∅Cos∅ = 2sin∅
2sin∅(√(1 - Sin²∅)) = 2sin∅
Let Sin∅ = P
2P( √(1 - P²)) = 2P
Divide both sides by 2P
√(1 - P²) = 1
Square both sides
1 - P² = 1
P² = 1 - 1
P² = 0
P = 0
Recall, Sin∅ = P
Sin∅ = 0
∅ = Sin ⁻¹(0)
∅ = 90°
