UNIT 6: Trigonometric Functions STUDY GUIDE

Find the six trig functions of the angle θ for the given triangle.

• sinθ = 4/5 cosθ = 3/5 tanθ = 4/3 cscθ = 5/4 secθ = 5/3 cotθ = 3/4

• sinθ = 3/5 cosθ = 4/5 tanθ = 3/4 cscθ = 5/3 secθ = 5/4 cotθ = 4/3

• sinθ = 5/4 cosθ = 4/3 tanθ = 5/3 cscθ = 4/5 secθ = 3/5 cotθ = 3/4

• sinθ = 3/4 cosθ = 4/5 tanθ = 3/5 cscθ = 4/3 secθ = 5/4 cotθ = 5/3

Find the six trig functions of the angle θ for the given triangle.

• sinθ = 7.5/8.5 cosθ = 4/8.5 tanθ = 7.5/4 cscθ = 7.5/8.5 secθ = 8.5/4 cotθ = 4/7.5

• sinθ = 8.5/7.5 cosθ = 4/7.5 tanθ = 8.5/4 cscθ = 7.5/8.5 secθ = 7.5/4 cotθ = 4/8.5

• sinθ = 4/8.5 cosθ = 7.5/4 tanθ = 4/7.5 cscθ = 8.5/4 secθ = 4/7.5 cotθ = 7.5/4

• sinθ = 7.5/4

  cosθ = 4/8.5 tanθ = 7.5/8.5 cscθ = 4/7.5 secθ = 8.5/4 cotθ = 4/7.5

Write an equation using a trigonometric function to find the value of x for the given triangle.

Write an equation using a trigonometric function to find the value of x for the given triangle.

Given the right triangle with angle A = 38°, side AB = 10, find the values of a and b.

• a ≈ 7.88, b ≈ 6.15

• a ≈ 8.12, b ≈ 5.00

• a ≈ 6.16, b ≈ 7.88

• a ≈ 7.00, b ≈ 8.00

Given the right triangle with side AC = 2, side CB = 6, find the value of c.

• c ≈ 6.32

• c ≈ 4.00

• c ≈ 8.00

• c ≈ 5.00

Find its reference angle: 215°

• Reference: 35°

• Reference: 55°

• Reference: 45°

• Reference: 25°

Find its reference angle: -105°

• Reference: 75°

• Reference: 15°

• Reference: 55°

• Reference: 105°

Find its reference angle: 405°

• Reference: 45°

• Reference: 55°

• Reference: 35°

• Reference: 105°