TRIGONOMETRY EXAMINATION QUESTIONS AND
CORRECT ANSWER WITH EXPLANATION GRADED A+
STUDY GUIDE SOUTHERN NEW HAMPSHIRE UNIVERSITY
1. Trigonometry is the study of:
A. Relationships between angles and sides of triangles
B. Numbers only
C. Chemistry reactions
D. Data analysis
Answer: A
Rationale: Trigonometry deals with angles and triangles.
2. The three primary trigonometric ratios are:
A. Sine, Cosine, Tangent
B. Addition, Subtraction, Multiplication
C. Area, Volume, Perimeter
D. Mean, Median, Mode
Answer: A
Rationale: Basic trig functions.
3. Sine is defined as:
A. Opposite / Hypotenuse
B. Adjacent / Hypotenuse
C. Opposite / Adjacent
D. Hypotenuse / Opposite
Answer: A
Rationale: SOH rule.
4. Cosine is defined as:
A. Adjacent / Hypotenuse
B. Opposite / Hypotenuse
C. Opposite / Adjacent
D. Hypotenuse / Adjacent
Answer: A
Rationale: CAH rule.
5. Tangent is defined as:
A. Opposite / Adjacent
, B. Adjacent / Hypotenuse
C. Opposite / Hypotenuse
D. Hypotenuse / Opposite
Answer: A
Rationale: TOA rule.
6. SOHCAHTOA helps to:
A. Remember trig ratios
B. Solve chemistry problems
C. Find area
D. Calculate mean
Answer: A
Rationale: Mnemonic for ratios.
7. Hypotenuse is:
A. Longest side in right triangle
B. Shortest side
C. Opposite angle only
D. Any side
Answer: A
Rationale: Opposite right angle.
8. Right triangle has:
A. One 90° angle
B. Two 90° angles
C. No angles
D. All equal angles
Answer: A
Rationale: Definition of right triangle.
9. Pythagoras theorem:
A. a² + b² = c²
B. a + b = c
C. a² − b² = c
D. ab = c
Answer: A
Rationale: Right triangle relation.
10. Sine of 90° equals:
A. 1
, B. 0
C. -1
D. 2
Answer: A
Rationale: Unit circle value.
11. Cosine of 0° equals:
A. 1
B. 0
C. -1
D. Undefined
Answer: A
Rationale: Unit circle.
12. Tangent of 45° equals:
A. 1
B. 0
C. 2
D. -1
Answer: A
Rationale: Equal opposite and adjacent.
13. Sine function relates to:
A. Y-coordinate on unit circle
B. X-coordinate only
C. Area only
D. Volume
Answer: A
Rationale: Unit circle definition.
14. Cosine function relates to:
A. X-coordinate on unit circle
B. Y-coordinate only
C. Area
D. Perimeter
Answer: A
Rationale: Unit circle definition.
15. Tangent is undefined at:
A. 90°
CORRECT ANSWER WITH EXPLANATION GRADED A+
STUDY GUIDE SOUTHERN NEW HAMPSHIRE UNIVERSITY
1. Trigonometry is the study of:
A. Relationships between angles and sides of triangles
B. Numbers only
C. Chemistry reactions
D. Data analysis
Answer: A
Rationale: Trigonometry deals with angles and triangles.
2. The three primary trigonometric ratios are:
A. Sine, Cosine, Tangent
B. Addition, Subtraction, Multiplication
C. Area, Volume, Perimeter
D. Mean, Median, Mode
Answer: A
Rationale: Basic trig functions.
3. Sine is defined as:
A. Opposite / Hypotenuse
B. Adjacent / Hypotenuse
C. Opposite / Adjacent
D. Hypotenuse / Opposite
Answer: A
Rationale: SOH rule.
4. Cosine is defined as:
A. Adjacent / Hypotenuse
B. Opposite / Hypotenuse
C. Opposite / Adjacent
D. Hypotenuse / Adjacent
Answer: A
Rationale: CAH rule.
5. Tangent is defined as:
A. Opposite / Adjacent
, B. Adjacent / Hypotenuse
C. Opposite / Hypotenuse
D. Hypotenuse / Opposite
Answer: A
Rationale: TOA rule.
6. SOHCAHTOA helps to:
A. Remember trig ratios
B. Solve chemistry problems
C. Find area
D. Calculate mean
Answer: A
Rationale: Mnemonic for ratios.
7. Hypotenuse is:
A. Longest side in right triangle
B. Shortest side
C. Opposite angle only
D. Any side
Answer: A
Rationale: Opposite right angle.
8. Right triangle has:
A. One 90° angle
B. Two 90° angles
C. No angles
D. All equal angles
Answer: A
Rationale: Definition of right triangle.
9. Pythagoras theorem:
A. a² + b² = c²
B. a + b = c
C. a² − b² = c
D. ab = c
Answer: A
Rationale: Right triangle relation.
10. Sine of 90° equals:
A. 1
, B. 0
C. -1
D. 2
Answer: A
Rationale: Unit circle value.
11. Cosine of 0° equals:
A. 1
B. 0
C. -1
D. Undefined
Answer: A
Rationale: Unit circle.
12. Tangent of 45° equals:
A. 1
B. 0
C. 2
D. -1
Answer: A
Rationale: Equal opposite and adjacent.
13. Sine function relates to:
A. Y-coordinate on unit circle
B. X-coordinate only
C. Area only
D. Volume
Answer: A
Rationale: Unit circle definition.
14. Cosine function relates to:
A. X-coordinate on unit circle
B. Y-coordinate only
C. Area
D. Perimeter
Answer: A
Rationale: Unit circle definition.
15. Tangent is undefined at:
A. 90°
