Question

If sin2ϴ=K, then the value of tan3ϴ cot3ϴ is
1+tan2ϴ 1+cot2ϴ

Answer 1

Step-by-step explanation:

If tan3θ + cot3θ = 52 , the...

MATHS

If tan

3

θ+cot

3

θ=52, then the value of tan

2

θ+cot

2

θ is equal

ANSWER

tan

3

θ+cot

3

θ=52

(tanθ+cotθ)(tan

2

θ+cot

2

θ−1)=52

(tanθ+cotθ)((tanθ+cotθ)

2

−3)=52

Let tanθ+cotθ=x

x(x

2

−3)=52

x

3

−3x−52=0

Solving this we get x=4⇒tanθ+cotθ=4

tan

2

θ+cot

2

θ+2=16=>tan

2

θ+cot

2

θ=14