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If θ lies in the first quadrant and cos2θ - sin2θ = $$\frac{1}{2}$$, then the value of tan22θ + sin23θ is:
Answer & Solution
Correct Answer:
Option
D
cos2θ - sin2θ = $$\frac{1}{2}$$
cos2θ = $$\frac{1}{2}$$
cos2θ = cos60°
2θ = 60°
θ = 30
tan22θ + sin23θ
= tan260° + sin290°
= 3 + 1
= 4
cos2θ = $$\frac{1}{2}$$
cos2θ = cos60°
2θ = 60°
θ = 30
tan22θ + sin23θ
= tan260° + sin290°
= 3 + 1
= 4
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