is equal to:
Show answer & explanation
Correct answer: A
Explanation
Correct answer is option 1 i.e. Secθ Cosecθ
|
Concept |
Understanding |
Application |
|
tanθ = sinθ/cosθ cotθ = cosθ/sinθ Sin 2θ + Cos2θ = 1 |
Tan2θ + Cot2θ + 2 = [tanθ + Cotθ]2 |
(2 + tan2θ + Cot2θ]/[Secθ Cosecθ] ⇒ [tanθ + Cotθ]2/[Secθ Cosecθ] ⇒ [sinθ/cosθ + cosθ/sinθ]2/[Secθ Cosecθ] ⇒ [(Sin2θ + Cos2θ)/Sinθ Cosθ]2/[Secθ Cosecθ] ⇒ [1/Sinθ Cosθ]2/[Secθ Cosecθ] ⇒ [Sec2θ Cosec2θ]/[Secθ Cosecθ] ⇒ Secθ Cosecθ |