# Lesson 35 Solving Linear Trigonometric Equations Involving Angle

• Slides: 11

Lesson 35 – Solving Linear Trigonometric Equations Involving Angle Changes Pre. Calculus 12/14/2021 Pre. Calculus 1

FAST FIVE – Skills/Concepts Review n EXPLAIN the difference amongst the following 3 functions: 12/14/2021 Pre. Calculus 2

FAST FIVE – Skills/Concepts Review n EXPLAIN the difference in the solutions to the following 3 equations : 12/14/2021 Pre. Calculus 3

(A) Review n n We have two key triangles to work in two key ways (i) given a key angle, we can determine the appropriate value of the trig ratio & (ii) given a key ratio, we can determine the value(s) of the angle(s) that correspond to that ratio We know what the graphs of the two parent functions look like and the 5 key points on each curve 12/14/2021 Pre. Calculus 4

(B) Example Set #1 n Without the use of a calculator, prepare an algebraic solution to the following equations: 12/14/2021 Pre. Calculus 5

(C) Example Set #2 n Use your graphing calculator to prepare a GRAPHIC solution to the following equations: 12/14/2021 Pre. Calculus 6

(D) Example Set #3 n Without the use of a calculator, prepare an algebraic solution to the following equations: 12/14/2021 Pre. Calculus 7

(D) Example Set #4 n Without the use of a calculator, prepare an algebraic solution to the following equations: 12/14/2021 Pre. Calculus 8

(E) Further Examples n 1. Solve the equation n 2. Determine the points of intersection of these two functions: 12/14/2021 Pre. Calculus 9

(E) Further Examples n 3. Find the x-intercepts of n 4. Determine the zeroes of 12/14/2021 Pre. Calculus 10

(E) Further Examples n 5. An equation that produces the solutions of x = 150° + 360°n, nεI as well as 330° + 360°n, nεI is ……. 12/14/2021 Pre. Calculus 11