cos2θ+cos2β+cos2θ=1, so cos2β=1−2cos2θ. Then sin2β=2cos2θ=3sin2θ=3(1−cos2θ). So 2cos2θ=3−3cos2θ, 5cos2θ=3, cos2θ=53.
A line makes angle θ with x-axes as well as z-axis. If the angle β, which it makes with y-axis is such that sin2β=3sin2θ, then cos2θ is :
Held on 17 Aug 2022 · Verified 13 Jul 2026.
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