If sec alpha=x+1/4x prove that sec alpha+ tan alpha = 2x or 1/2x

Question

If sec alpha=x+1/4x prove that sec alpha+ tan alpha = 2x or 1/2x

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1 month 2021-08-13T07:47:27+00:00 2 Answers 0 views 0

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    0
    2021-08-13T07:49:02+00:00

    Answer:

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    Step-by-step explanation:

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    0
    2021-08-13T07:49:03+00:00

    ANSWER

    tan2θ=sec2θ−1

    =(x+4×1)2−1

    =(x+4×1)2

    ∴tanθ=±(x−4×1)

    =(x−4×1)or(4×1−x)

    ∴secθ+tanθ is either 2x or 2×1

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