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URGENT HELP!! θ is an acute angle in a right triangle. Find the values of the six trigonometric functions given the following:?

(1 pt) Assume that θ is an acute angle in a right triangle. Find the values of the six triginometric functions given the following:

cos(θ)=25/28.

See attached photo

please show the work and how its done please thanks soo much!!!!!

Attachment image

2 Answers

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  • ?
    Lv 7
    3 years ago

    cos(θ)=25/28

    adjacent = 25

    hypotenuse = 28

    opposite = √159 (by Pythagoras)

    sin θ = (√159)/28, csc θ = 28/√159

    sec θ = 28/25

    tan θ = (√159)/25, cot θ = 25/√159

  • 3 years ago

    Well, sec = 1/cos. csc = 1/sin and cot = 1/tan

    and tan = sin/cos...

    So, you have two ways of finding sin...

    cos = adjacent/hyp

    sin = opp /hyp

    opp^2 + adj^2 = hyp ^2

    opp = √(28^2 - 25^2)

    so, now put in the values and do the arithmetic...

    or,,,

    if you know trig identities

    sin = √(1 - cos^2) etc.

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