If tan θ + cot θ = 6, then the value of tan2θ + cot2θ is ____ .
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 34.
Given that
tanθ + cotθ = 6
Squaring both sides we get
(tanθ + cotθ)2 = 36
⇒ tan2θ + cot2θ + 2tanθcotθ = 36
Hence, tan2θ + cot2θ + 2 = 36
⇒ tan2θ + cot2θ = 34