Aptitude question for Accenture

Ques. If v3 cot^2? - 4cot?+ v3 =0, then find the value of cot^2? + tan^2?

Anwar
25 सितम्बर
2565 दृश्य
3 उत्तर

Your Answer

Shreya
23 जून

Given √3 cot2θ - 4cotθ + √3 = 0.

⇒ √3 Cot2θ - 3 Cot θ - Cot θ+ √3 = 0

⇒ √3 Cot θ( Cot θ - √3) - 1( Cot θ - √3) = 0

⇒ ( Cot θ - √3)(√3 Cot θ - 1) = 0

Cot θ = √3 and Cot θ = 1 / √3 .

let Cot θ = √3 and Tan θ = 1 / √3 .

Now Cot2θ +Tan2θ = 3 + 1 / 3 = 10 / 3.