Trigonometry Practice — Right Triangles

Trigonometry Practice — Right Triangles. Practice questions to deepen understanding of trigonometry in right triangles. Online math practice with full solutions and detailed explanations.

Practice sine, cosine, tangent, and solving right triangles.

15 questions

Question 1
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(3x < 12\)

Explanation:
Solution
1. The equation: 3x < 12
2. Divide by 3: x < 12/3 = 4
3. The solution: x < 4
4. On the number line: Open circle at 4, mark Left.
Question 2
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(x < 2\)

Explanation:
Solution
1. The equation: 1x < 2
2. Divide by 1: x < 2/1 = 2
3. The solution: x < 2
4. On the number line: Open circle at 2, mark Left.
Question 3
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(x < 0\)

Explanation:
Solution
1. The equation: 1x < 0
2. Divide by 1: x < 0/1 = 0
3. The solution: x < 0
4. On the number line: Open circle at 0, mark Left.
Question 4
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(3x < -9\)

Explanation:
Solution
1. The equation: 3x < -9
2. Divide by 3: x < -9/3 = -3
3. The solution: x < -3
4. On the number line: Open circle at -3, mark Left.
Question 5
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(3x > 0\)

Explanation:
Solution
1. The equation: 3x > 0
2. Divide by 3: x > 0/3 = 0
3. The solution: x > 0
4. On the number line: Open circle at 0, mark Right.
Question 6
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(3x ≥ 15\)

Explanation:
Solution
1. The equation: 3x ≥ 15
2. Divide by 3: x ≥ 15/3 = 5
3. The solution: x ≥ 5
4. On the number line: Closed circle at 5, mark Right.
Question 7
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(3x ≥ 6\)

Explanation:
Solution
1. The equation: 3x ≥ 6
2. Divide by 3: x ≥ 6/3 = 2
3. The solution: x ≥ 2
4. On the number line: Closed circle at 2, mark Right.
Question 8
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(3x ≥ -6\)

Explanation:
Solution
1. The equation: 3x ≥ -6
2. Divide by 3: x ≥ -6/3 = -2
3. The solution: x ≥ -2
4. On the number line: Closed circle at -2, mark Right.
Question 9
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(3x > 9\)

Explanation:
Solution
1. The equation: 3x > 9
2. Divide by 3: x > 9/3 = 3
3. The solution: x > 3
4. On the number line: Open circle at 3, mark Right.
Question 10
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(3x < 24\)

Explanation:
Solution
1. The equation: 3x < 24
2. Divide by 3: x < 24/3 = 8
3. The solution: x < 8
4. On the number line: Open circle at 8, mark Left.
Question 11
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(-2x > 0\)

Explanation:
Solution
1. The equation: -2x > 0
2. Divide by -2: x < 0/-2 = 0
⚠️ Note: when dividing by a negative number, the sign flips!
3. The solution: x < 0
4. On the number line: Open circle at 0, mark Left.
Question 12
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(-x > 10\)

Explanation:
Solution
1. The equation: -1x > 10
2. Divide by -1: x < 10/-1 = -10
⚠️ Note: when dividing by a negative number, the sign flips!
3. The solution: x < -10
4. On the number line: Open circle at -10, mark Left.
Question 13
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(-2x ≥ 18\)

Explanation:
Solution
1. The equation: -2x ≥ 18
2. Divide by -2: x ≤ 18/-2 = -9
⚠️ Note: when dividing by a negative number, the sign flips!
3. The solution: x ≤ -9
4. On the number line: Closed circle at -9, mark Left.
Question 14
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(-2x < 2\)

Explanation:
Solution
1. The equation: -2x < 2
2. Divide by -2: x > 2/-2 = -1
⚠️ Note: when dividing by a negative number, the sign flips!
3. The solution: x > -1
4. On the number line: Open circle at -1, mark Right.
Question 15
6.67 pts

📊 Solve Inequality and Mark on Number Line
Solve and mark on number line: \(-3x > -30\)

Explanation:
Solution
1. The equation: -3x > -30
2. Divide by -3: x < -30/-3 = 10
⚠️ Note: when dividing by a negative number, the sign flips!
3. The solution: x < 10
4. On the number line: Open circle at 10, mark Left.