Objectives (click/tap to expand)
Find trigonometric functions of an angle, given a triangle
Given the value of one trigonometric function, find the remaining functions
Evaluate trigonometric functions without a calculator
Evaluate trigonometric functions with a calculator
Find an acute angle given a trig function
Solve right triangles for missing sides and angles
Solve application problems
Intro to trigonometric functions sine, cosine, tangent, cosecant, secant, cotangent. When given one trig function value for an acute angle theta, how to determine the other five trig function values.
Evaluating trigonometric functions of "special" angles given in radian measure.
Solving a right triangle. When given the value of one acute angle and one of the side lengths, find all the other unknown quantities.
For assessment on Chapters 1.5, 4.1-4.2:
Graphical transformations
Know the relationship between angle, arc length, and radius
Apply that relationship in "word problems" involving racetracks, etc.
Convert angle measure between radian and degree
Determine the six trigonometric functions for a right triangle, given two side lengths
Solve all unknown lengths and angles of a right triangle, given one side length and one angle
"Clever algebra" to fund the sum, difference, product, sum of squares, etc. of two unknown numbers. We spent a good deal of "Do Now" time on this one day. In addition to those questions, here are some more "clever algebra" practice questions and solutions.
Apply basic right-triangle trigonometry to find the missing lengths of a given shape similar to the following handout you received in class.
Go to next page, Chapter 4.3.