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Trigonometry Topics

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Right Triangle Trigonometry

Use sine ratio to calculate angles and side (Sin = oh \frac{o}{h} ) (free lessons)
Use cosine ratio to calculate angles and side (Cos = ah \frac{a}{h} )
Use tangent ratio to calculate angles and side (Tan = oa \frac{o}{a} )
Combination of SohCahToa questions (free lessons)
Solving expressions using 45-45-90 special right triangles (free lessons)
Solving expressions using 30-60-90 special right triangles
Word problems relating ladder in trigonometry
Word problems relating guy wire in trigonometry
Other word problems relating angles in trigonometry

Trigonometric Ratios and Angle Measures

Angle in standard position
Coterminal angles (free lessons)
Reference angle
Find the exact value of trigonometric ratios
ASTC rule in trigonometry (All Students Take Calculus) (free lessons)
Unit circle (free lessons)
Converting between degrees and radians
Trigonometric ratios of angles in radians
Radian measure and arc length
Law of sines
Law of cosines
Applications of the sine law and cosine law

Graphing Trigonometric Functions

Sine graph: y = sin x
Cosine graph: y = cos x
Tangent graph: y = tan x
Cotangent graph: y = cot x
Secant graph: y = sec x
Cosecant graph: y = csc x
Graphing transformations of trigonometric functions
Determining trigonometric functions given their graphs

Applications of Trigonometry Functions

Ferris wheel trig problems
Tides and water depth trig problems
Spring (simple harmonic motion) trig problems

Trigonometric Identities

Quotient identities and reciprocal identities (free lessons)
Pythagorean identities
Sum and difference identities
Cofunction identities
Double-angle identities (free lessons)

Trigonometric Equations

Solving first degree trigonometric equations (free lessons)
Determining non-permissible values for trig expressions
Solving second degree trigonometric equations
Solving trigonometric equations involving multiple angles (free lessons)
Solving trigonometric equations using pythagorean identities
Solving trigonometric equations using sum and difference identities
Solving trigonometric equations using double-angle identities

Inverse Trigonometric Functions

Finding inverse trigonometric function from its graph
Evaluating inverse trigonometric functions
Finding inverse reciprocal trigonometric function from its graph
Inverse reciprocal trigonometric function: finding the exact value
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