Question

Find tan , sin , and seco, where 0 is the angle shown in the figure.

Answer 1

Answer:

• tan(θ) = 5/3
• sin(θ) = 5√34/34
• sec(θ) = √34/3

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

__

  Sin = Opposite/Hypotenuse

  sin(θ) = 5/√34 = (5/34)√34

__

  Sec = Hypotenuse/Adjacent

  sec(θ) = √34/3