Trigonometric Identities and Equations

Trigonometric Identities and Equations (17 topics)

Verifying Trigonometric Identities (3 topics)

• Simplifying trigonometric expressions
• Using cofunction identities
• Verifying a trigonometric identity

Sum and Difference Formulas (3 topics)

• Sum and difference identities - Problem type 1
• Sum and difference identities - Problem type 2
• Sum and difference identities - Problem type 3

Double-Angle, Half-Angle, Product-to-Sum, and Power Reducing Formulas (6 topics)

• Double-angle identities - Problem type 1
• Double-angle identities - Problem type 2
• Power-reducing identities
• Half-angle identities - Problem type 1
• Half-angle identities - Problem type 2
• Product-to-sum and sum-to-product identities - Problem type 1

Trigonometric Equations (5 topics)

• Finding solutions in an interval for a basic equation involving sine or cosine
• Finding solutions in an interval for a basic tangent, cotangent, secant, or cosecant equation
• Solving a basic trigonometric equation using a calculator
• Solving a basic trigonometric equation involving sine or cosine
• Solving a basic trigonometric equation involving tangent, cotangent, secant, or cosecant