cot⁡θ=sin⁡2θ, θ≠nπ, n∈Z, if θ equals

cotθ=sin2θ, θnπ, nZ, if θ equals

  1. A

    45 or 90

  2. B

    45 or 60

  3. C

    90 only

  4. D

    45only

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    Solution:

    We have

    cotθ=sin2θcosθ=2sin2θcosθcosθ12sin2θ=0cosθ=0 or, 12sin2θ=0cosθ=0 or, sin2θ=122θ=90 or θ=45

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