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Using the exact trigonometric ratios of 45 degree,30 degree and 60 degree,evaluate the following,leaving where necessary your answer in surd form. (a) 3 sin 30 degree-2 cos 60 degree (b)(tan 45 degree)(4 cos 60 degree-2 cos 60 degree)

  • Maths -

    sin 30 = 1/2

    thus, we get 3/2 - 2cos 60

    cos 60 = 1/2

    thus we get 3/2 - 2/2 = 1/2

    tan45 = 1

    so the equation is just 4cos60 - 2cos60

    cos 60 = 1/2, as previously mentioned

    thus, we get 2 - 1 = 1.....

    btw...I think you can just plug these functions into your calculator to figure these out, it is not too hard.

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