Find tan , sin , and seco, where 0 is the angle shown in the figure. Give exact values, not decimal approximations.

Step-by-step explanation:

The hypotenuse is given by the Pythagorean theorem:

  h = √(3² +5²) = √34

The trig functions are the ratios of sides:

  Tan = Opposite/Adjacent

  tan(θ) = 5/3

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  Sin = Opposite/Hypotenuse

  sin(θ) = 5/√34 = (5/34)√34

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  Sec = Hypotenuse/Adjacent

  sec(θ) = √34/3