If theta is the angle between unit vectors a and b then 1-a.B/1+a.B is equal to
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Answered by
59
Step-by-step explanation:
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Answered by
27
Answer:
(Cosecθ - Cotθ)²
Step-by-step explanation:
(1 - a.b)/(1 + a.b)
a.b = |a||b|Cosθ
|a| = |b| = 1 as unit vectors
a.b = Cosθ
(1 - a.b)/(1 + a.b)
= (1 - Cosθ)/(1 + Cosθ)
multiplying & dividing by 1 - Cosθ
= (1 - Cosθ)²/(1 - Cos²θ)
= (1 - Cosθ)²/Sin²θ
= (1/Sinθ - Cosθ/Sinθ)²
= (Cosecθ - Cotθ)²
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