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
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