SSC CGL 30 Aug 2015 Paper

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Question : 124 of 200

Marks: +1, -0

If x = p cosec θ and y = q cot θ, then the value of

x^2/p^2 - y^2/q^2

is

$sin^2$ θ
tan θ
1
0

Solution:

x = p cosec θ
⇒ cosec θ =

x/p

Again, y = q cot θ
⇒ cot θ =

y/q

∴

cosec^2

θ -

cot^2

θ = 1
⇒

x^2/p^2 - y^2/q^2

= 1

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