Online Trig Cheat Sheet

Right Triangle Trigonometry Definitions

Given triangle ABC,

There are six possible side ratios named: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent.

The Pythagorean theorem applies,

Special 30-60-90 triangle:

Special 45-45-90 triangle:

Special Trig Function Values:

Pythagorean triples (primitives) with c ≤ 100:

Note: (6, 8, 10) is not a primitive because it is a multiple of (3, 4, 5).

Trigonometric functions of special angles in classic table form:

Trigonometry Final Exam Questions

A sampling of Trigonometry exam questions with solutions.

1. Prove the following identity.

 2. Use a calculator to find the angle to the nearest tenth of a degree.

 

3. Write answer in terms of u.

4. Use exact values.

5. Find the exact and approximate area.

 

6. Find the missing parts.

 

7. Solve.

8. solve and round answers to the nearest tenth of a degree.

9. Solve using exact answers in radians.

First find the critical numbers (the zeros)

Now construct a sign chart using these critical values.

10. Solve.

Solar System

Relative sizes outward from the Sun, the planets are Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, followed by the dwarf planet Pluto. ( Mean Radius r )

Sun: r ≈ 696,000 km
Mercury: r ≈ 2,440 km
Venus: r ≈ 6,050 km
Earth: r ≈ 6,370 km
Mars: r ≈ 3,390 km
Jupiter: r ≈ 69,910 km
Saturn: r ≈ 58,230 km
Uranus: r ≈ 25,360 km
Neptune: r ≈ 24,620 km
Pluto*: r ≈ 1,180 km

Moon: r ≈ 1,740 km

*Designated minor-planet

Surface Area and Volume of Common Figures

Surface area is measured in square units and volume is measured in cubic units.

1. Rectangular Prism

2. Cube

3. Right Circular Cylinder

4. Right Circular Cone

5. Right Square Pyramid

6. Sphere

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