CUET Preparation Today
CUET
General Test
Quantitative Reasoning
Trigonometry
Find the value of sec2θ - \(\frac{sin^2θ-2sin^4θ}{2cos^2θ-cos^2θ}\) is?
1
2
-1
0
⇒ sec2θ - \(\frac{sin^2θ(1-2sin^2θ)}{cos^2θ(2cos^2θ-1)}\)
We know
cos2θ - sin2θ = 2cos2θ - 1 = 1 - 2sin2θ
⇒ sec2θ - tan2θ = 1