Trigonometric Functions Worksheet

Trigonometric Functions

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. In a right-angled triangle, if the opposite side to an angle is 5 units and the hypotenuse is 13 units, what is the value of the sine of that angle?

2. Which trigonometric ratio relates the adjacent side to the hypotenuse?

1. The acronym SOH CAH TOA helps remember the definitions of   ratios.

2. The   of an angle in a right triangle is the ratio of the opposite side to the adjacent side.

3. The longest side of a right-angled triangle is called the  .

1. Consider a right-angled triangle with an angle θ. If sin(θ) = 3/5, what are the values of cos(θ) and tan(θ)? Show your work.

2. A ladder is leaning against a wall, forming an angle of 60 degrees with the ground. If the base of the ladder is 4 meters away from the wall, how long is the ladder?

1. The value of sin(90°) is 1.

2. Tan(θ) = sin(θ) / cos(θ).

Match each trigonometric ratio with its definition.