The most general solution of tan⁡θ=−1,cos⁡θ=12 is

The most general solution of tanθ=1,cosθ=12 is

  1. A

    nπ+7π4,nZ

  2. B

    πz+(1)n7π4,nZ

  3. C

    2nπ+7π4,nZ

  4. D

    none of these

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    Solution:

    We have

    tanθ=1 and cosθ=12

    The value of θ lying between 0 and 2π and satisfying these

    is 7π4 Therefore, the most general solution is

    θ=2nπ+7π4, where nZ

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