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CUET
General Test
Quantitative Reasoning
Trigonometry
Find the value of θ, which satisfies the equation: tan2θ + 3 = 3secθ
45°
60° or 0°
30°
90°
tan2θ + 3 = 3secθ
⇒ sec2θ + 2 = 3secθ
⇒ sec2θ - 3secθ + 2 = 0
⇒ (secθ - 2) (secθ - 1) = 0
⇒ secθ = 2 or 1
θ = 60° or 0°