Question

If x =a sino and If y=b tano then find the value of
ra​

Answer 1

Answer:

LHS=RHS

Step-by-step explanation:

We have ,

L.H.S=

x

2

a

2

−

y

2

b

2

⇒L.H.S=

a

2

sin

2

θ

a

2

−

b

2

tan

2

θ

b

2

[∵x=asinθ,y=btanθ]

⇒L.H.S=

sin

2

θ

1

−

tan

2

θ

1

⇒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