Objectives

After completing this module, you will be able to:

• prove Pythagorean Identities and apply them to calculate trigonometric ratios and to solve problems

• simplify expressions using trigonometric identities

• prove the double-angle, half-angle, angle sum and difference formulas for sine, cosine, and tangent

• apply the double-angle, half-angle, angle sum and difference formulas to solve problems

• solve mathematical and real-world problems involving one-variable trigonometric ratios

• solve mathematical and real-world problems that are modeled with trigonometric equations