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Question

A line makes the same angle θ with each of the x and z- axis. If the angle β which it makes with y- axis, is such that sin2β=3sin2θ, then cos2θ equals
  1. 35
  2. 15
  3. 23
  4. 25


Solution

The correct option is A 35
Since we know cos2θ+cos2θ+cos2β=1sin2θ=25

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