Advanced Trigonometric Identities
In these lessons, we will learn to use trigonometric identities, including cofunction identities, power reducing formulas and half-angle identities.
Related Pages
Basic Trigonometric Identities
Trigonometric Graphs
Trigonometric Functions
Lessons On Trigonometry
The following tables give some Trigonometric Identities. Scroll down the page for examples and solutions on how to use the Trig Identities.
Using a Cofunction Identity
Cofunction identities and how to determine cofunctions given a function value.
Cofunction Identities - Solving Trigonometric Equations
How to use cofunction identities to solve trigonometric equations?
Example:
Find a possible acute angle solution.
a) cos(2θ + 16°) = sin(θ + 11°)
b) cot(θ) = tan(θ + π/6)
Power Reducing Formulas - Trigonometric Identities
How to use power reducing formulas to simplify trigonometric expressions?
It contains the power reducing trigonometric identities for sine, cosine, and tangent.
Examples:
sin4(x)
sin2(x)cos2(x)
sin4(x)cos2(x).
Half Angle Identities to Evaluate Trigonometric Expressions
Find the exact value of the following:
tan(105°)
How to use Half Angle Identities to Evaluate Trigonometric Expressions
Find the exact value of the following:
sin(a/2) if cos a = 3/5 for 0° ≤ a ≤ 90°
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