If tanθ + cotθ = 4, then find the value of tan2θ + cot2θ.
Answer & explanation
Correct answer: option 4
tanθ + cotθ = 4
on squaring both side ,
( tanθ + cotθ)² = 4²
tan²θ + cot²θ + 2tanθ. cotθ = 16
{ tanθ = \(\frac{1}{cotθ}\) }
tan²θ + cot²θ = 16- 2
tan²θ + cot²θ = 14