PreCalculus 484 Outcomes

Chapter 6

6.1 Trig Functions of Right Angles

• acute right obtuse
• cosine, sine, tangent, secant, cosecant, cotangent
• right triangle definitions (SOACAHTOA)
• calculator for trig and reciprocal functions
• 30/60/90 and 45/45/90

6.2 Right Triangle Applications

• trig formula for the ara of a triangle

6.3 Trig Functions of Angles

• initial side, terminal side, positive angle, negative angle, standard position
• trig functions of angles on a unit circle
• calculate trig functions for multiples of 90° using the unit circle
• reference angle
• calculate trig functions for multiples of 30°, 45°, and 60° using the unit circle
• trig formula for the ara of a triangle (proof)

6.4 Trig Identities

• Pythagorean, tangent definition, reciprocal functions
• proving identities by converting to sines and cosines
• identity strategy: create pythagorean substitution

Chapter 7

7.1 Radian Measure

• radian measure definition
• converting between radians and degrees
• arc length formula
• sector area formula
• angular and linear speed formulas
• converting between angular and linear speed

7.2 Trig Functions of Angles

• initial side, terminal side, positive angle, negative angle, standard position (review)
• trig functions of angles on a unit circle (review)
• calculate trig functions for multiples of π/2 using the unit circle
• coterminal angles
• determine the sign of a trig function
• strategy: evaluating trig functions using Pythagorean Theorem
• calculator for trig and reciprocal functions (review)

7.3 Evaluating Trig Functions

• reference angle (review)

7.4 Algebra and the Trig Functions

• notation (argument, product, exponent)
• combining like terms
• factoring
• common denominator
• simplification
• identities: Pythagorean, tangent definition, reciprocal functions (review)
• strategy: evaluating trig functions using Pythagorean Theorem (review)
• proving identities by converting to sines and cosines (review)
• identity strategy: create pythagorean substitution (review)

7.5 Right Triangle Trig

• right triangle definitions (SOACAHTOA) (review)
• complementary identities
• using the value of one trigonometric function to find the value of another