Question

Eliminateθ from the following : x = 6cosecθ , y = 8cotθ​

Answer 1

Answer:

x=3cosecθ+4cotθ (1)

y=4cosecθ−3cotθ (2)

Multiply equation (1) by 3 and equation (2) by 4 and add,

3x+4y=25cosecθ

Multiply equation (1) by 4 and equaion (2) by 3 and subtract,

4x−3y=25cotθ

We know, cosec

2

θ−cot

2

θ=1

(3x+4y)

2

−(4x−3y)

=

25

2

(3x+4y)

2

−(4x−3y)

=

625

Step-by-step explanation:

Thank you