Find the value of θ, which satisfies the equation: tan2θ + 3 = 3secθ
Answer & explanation
Correct answer: option 2
tan2θ + 3 = 3secθ
⇒ sec2θ + 2 = 3secθ
⇒ sec2θ - 3secθ + 2 = 0
⇒ (secθ - 2) (secθ - 1) = 0
⇒ secθ = 2 or 1
θ = 60° or 0°
Find the value of θ, which satisfies the equation: tan2θ + 3 = 3secθ
Correct answer: option 2
tan2θ + 3 = 3secθ
⇒ sec2θ + 2 = 3secθ
⇒ sec2θ - 3secθ + 2 = 0
⇒ (secθ - 2) (secθ - 1) = 0
⇒ secθ = 2 or 1
θ = 60° or 0°