1.

If tan θ + cot θ = 6, then find the value of tan2 θ + cot2 θ.1. 362. 243. 264. 34

Answer» Correct Answer - Option 4 : 34

Given:

tan θ + cot θ = 6

Formula Used:

(a + b)2 = a2 + b2 + 2ab

tanθ × cotθ = 1

Calculations:

tan θ + cot θ = 6

Squaring both sides, we get

(tan θ + cot θ)2 = (6)2

⇒ tanθ + cotθ + 2 × tanθ × cotθ = 36

⇒ tanθ + cotθ + 2 × 1 = 36

⇒ tanθ + cotθ = 36 – 2

⇒ tanθ + cotθ = 34

∴ The value of tanθ + cotθ is 34.



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