Question

If 3tanO=4,show that(3sinO+2 cosO/3sin O-2cosO​

Answer 1

Answer:

Correct option is

D

2

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

Step-by-step explanation:

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