University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2021
Views:

372

Pages:

8
Author:

lkalqie

TODAY'S AGENDA Warm Up Check Homework Lesson: Solving Trig Equations Solving Practice Perf. Assessment: Thursday Unit 7 Test: Friday (Block 3) Tuesday (Block 2) Warm Up... Verify! \mathbb{C} * cos(pi - theta) + sin(pi/2 + theta) = 0 Sin diff form sin(20-0) 2 sin 2 * theta * cos theta - cos 2theta * sin theta = sin theta 2sin theta * cos theta * cos theta - (cos^2 theta - sin^2 theta) * sin theta 2sin theta * cos^2 theta - (cos^2 theta * sin theta - sin^3 theta) 2sin theta * cos^2 theta - cos^2 theta * sin theta + sin^3 theta sin theta * (2cos^2 theta - cos^2 theta + sin^2 theta) sin theta * (cos^2 theta + sin^2 theta) Homework Check (49 ) (5sqrt(26))/26 (sqrt(5))/5 53) ) (3sqrt(10))/10 b) (sqrt(26))/26 (2sqrt(5))/5 b) (- sqrt(10))/10 c.) 5 1/2 c) -3 Without looking at your formula card... Write the 9 Pythagorean Identities Hint: Start with the main identity pythagorean identities: si * n ^ 2 * theta + cos^2 theta = 1 sin^2 theta = 1 - cos^2 theta cos^2 theta = 1 - sin^2 theta 1 + cot^2 theta = csc^2 theta 1 = csc^2 theta - cot^2 theta cot^2 theta = csc^2 theta - 1 tan^2 theta + 1 = sec^2 theta 1 = sec^2 theta - tan^2 theta tan^2 theta = sec^2 theta - 1 5.3 Solving Trig Equations 5.3 Solving Trig Equations GOAL: isolate "sinx' or 'cosx" or "tanx" When the equation=1 =0, the solutions are X-intercepts, roots, or zeros TIPS FOR SOLVING: If one cos x, sin x, or tan x, get by itself on one side If two cos x, sin x or tan x, pull out a GCF and set factors equal to zero and solve If have a trinomial, factor and set each factor equal to zero and solve If have different trig functions (ex: sin and cos), change one of them to the other using the properties