Question

If 2 cot A = 7, find the value of
3 sin A + 2 cos A / 3 sin A - 2 cos A​

Answer 1

Step-by-step explanation:

Given, 2−cos

2

θ=3sinθcosθ

Dividing both sides by cos

2

θ, we get

2sec

2

θ−1=3tanθ

2(1+tan

2

θ)−1=3tanθ

⇒2+2tan

2

θ−1=3tanθ⇒2tan

2

θ−3tanθ+1=0

⇒2tan

2

θ−2tanθ−tanθ+1=0

⇒2tanθ(tanθ−1)−(tanθ−1)=0

⇒(2tanθ−1)(tanθ−1)=0

⇒tanθ=

2

1

and 1

⇒cotθ=2 and 1