If cosθ=60/61 then find value of tanθ. *

Question

If cosθ=60/61 then find value of tanθ. *

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Lyla 4 weeks 2021-08-17T21:00:19+00:00 1 Answer 0 views 0

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    2021-08-17T21:02:04+00:00

    Answer:

    11/60

    Step-by-step explanation:

    = > cosθ = 60/61

    = > cosθ = base/hypo. = 60/61

    So, let base be 60a and hypotenuse be 61a.

    Using Pythagoras theorem,

    = > (61a)² = (60a)² + height²

    = > 3721a² = 3600a² + height²

    = > 3721a² – 3600a² = height²

    = > 121a² = height²

    = > 11a = height

    Hence,

    tanθ = height/base = 11a/60a = 11/60

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