Trigonometric Ratios Worksheet
Evaluate and apply trigonometric ratios (sine, cosine, tangent, cosecant, secant, cotangent) to solve problems involving right triangles and angles.
Includes
Standards
Topics
Trigonometric Ratios: Sin, Cos, Tan, Csc, Sec, Cot
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Read each question carefully and provide the most accurate answer. Show all your work for full credit.
1. For the right triangle below, find the sine, cosine, and tangent of angle A. Give your answers as fractions in simplest form.
sin A =
cos A =
tan A =
2. If sin θ = 3/5, and θ is an acute angle, find the values of cos θ and tan θ.
Complete the following statements:
1. The reciprocal of sine is .
2. The reciprocal of cosine is .
3. The reciprocal of tangent is .
4. If csc θ = 2, then sin θ = .
5. If sec θ = √2, then cos θ = .
1. In a right triangle, the side opposite angle X is 8 units long, and the hypotenuse is 17 units long. What is the value of cot X?
8/15
15/8
8/17
17/8
2. If tan θ = 1, then θ could be:
30°
45°
60°
90°
1. A ladder leans against a wall, making an angle of 60° with the ground. If the base of the ladder is 5 feet from the wall, how long is the ladder? Round your answer to the nearest tenth of a foot.
2. An airplane is flying at an altitude of 30,000 feet. The angle of depression from the airplane to the airport is 15°. What is the horizontal distance between the airplane and the airport? Round your answer to the nearest foot.