if x = a sino and y = b tano Prove
that (a²/x²=b²/y²)=1
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Answered by
1
Answer :
We have ,
L.H.S = a^2/x^2 - b^2 /y^2
⇒L.H.S = [a^2 ÷ (asinθ)^2] - [ b^2 ÷ (btanθ)^2]
[∵ x = asinθ , y= btanθ ]
⇒L.H.S = (1 ÷ sin ^2θ) - (1 ÷ tan^2θ)
⇒L.H.S = cosec^2 θ − cot^2 θ
[∵1 + cot^2 θ = cosec^2 θ
∴ cosec^2 θ − cot^2 θ = 1 ]
⇒ LHS = 1 = RHS
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18
Answer:
give thanx=take thanks
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