Right Triangle Trig Review

By Nancy Compton
Last updated almost 5 years ago
29 Questions
Note from the author:
General review including what the trig ratios are, determing the ratio in a problem, writing and solving trigonometric equations.
1.

What is the ratio for sine? (Use "opp", "hyp", and "adj".)

2.

What is the ratio for cosine? (Use "opp", "hyp", and "adj".)

3.

What is the ratio for tangent? (Use "opp", "hyp", and "adj".)

4.

sin A = ? (fraction)

5.

cos A = ? (fraction)

6.

tan A = ? (fraction)

7.

sin B = ? (fraction)

8.

cos B = ? (fraction)

9.

tan B = ? (fraction)

10.

Which trigonometric ratio should you use to solve for "h"?

11.

Which trigonometric ratio should you use to solve for h?

12.

Which trig ratio should you use to solve for side BC?

13.

Which trig ratio should you use to solve for theta?

14.

Which trig ratio should you use to solve for y?

15.

Which angle represents an angle of elevation?

16.

Is 70 an angle of depression or an angle of elevation?

17.

Which method would you use to solve the equation?

  • sin 450 = x/8
  • sin 320 = m/7
  • tan y = 8/13
  • tan n = 4.578
  • cos w = 0.34
  • tan 740 = p/5
  • sin x = 5/7
  • cos 390 = 8/w
  • Cross multiply and solve.
  • Use the inverse.
18.

Solve the equation: sin 380 = x/10. Round your answer to the nearest hundredth. Include the word "degrees" with your answer if solving for an angle.

19.

Solve the equation: tan 120 = x/10. Round your answer to the nearest hundredth. Include the word "degrees" with your answer if solving for an angle.

20.

Solve the equation: cos 780 = 13/x. Round your answer to the nearest hundredth. Include the word "degrees" with your answer if solving for an angle.

21.

Solve the equation: sin x = 7/11. Round your answer to the nearest hundredth. Include the word "degrees" with your answer if solving for an angle.

22.

Solve the equation: cos x = 12/17. Round your answer to the nearest hundredth. Include the word "degrees" with your answer if solving for an angle.

23.

Solve the equation: tan x = 2.719. Round your answer to the nearest hundredth. Include the word "degrees" with your answer if solving for an angle.

24.

Write an equation to solve for the hypotenuse. Use "x" as the variable. Due to limited options for typing, you do not need to include degrees in your equation.

25.

Write an equation to solve for x. Due to limited options for typing, you do not need to include degrees in your equation.


26.

Write an equation to solve for <B. Use "x" as the variable. Due to limited options for typing, you do not need to include degrees in your equation.

27.

Write an equation to solve for side BC. Use "x" as the variable. Due to limited options for typing, you do not need to include degrees in your equation.

28.

Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.

29.

Given the triangle below, what trigonometric ratios would equal b/c?
(Hint: Consider the relationship between <A and <B.)