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  1. If tan θ + cot θ = 2, then the value of tan2θ + cot2θ is
    1. 2
    2. 1
    3. √2
    4. 0
Correct Option: A

tan θ + cot θ = 2
On squaring both sides,
(tan θ + cot θ )² = 4
⇒ tan²θ + cot²θ + 2tan θ . cot θ = 4
⇒ tan²θ + cot²θ = 4 – 2 = 2
[tan θ .cot θ = 1]


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