If θ is an acute angle and tan θ + cot θ = 2, then the value of tan2θ + cot2θ + 2 tan5θ cot4θ is :
Answer & explanation
Correct answer: option 2
tan θ + cot θ = 2
Here, tan θ = cot θ = 1
⇒ θ = 45°
tan2θ + cot2θ + 2 tan5θ cot4θ = 1 + 1 + 2 = 4
If θ is an acute angle and tan θ + cot θ = 2, then the value of tan2θ + cot2θ + 2 tan5θ cot4θ is :
Correct answer: option 2
tan θ + cot θ = 2
Here, tan θ = cot θ = 1
⇒ θ = 45°
tan2θ + cot2θ + 2 tan5θ cot4θ = 1 + 1 + 2 = 4