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