G A Point x Vi 8102E x Dropbo x CA Point x wwwwwe x G Find t

G A Point x Vi 8-1-02E x Dropbo x CA Point x wwwwwe x G Find the x rectang x CHome x M Transac x HomeP x 1720 EXX C Response dep 15158991 Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment scoring Your last submission is used for your score. 24. O -1 points SPreCalc7 7.5.032. M My Notes Ask Your Teacher Solve the equation by factoring. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 4 sin(e) cos(e) 2 3 sin (6) 2 3 cos(6) 3 0 Submit Answer Save Progress View Previous Question Question 24 of 24 Home My Assignments Extension Request WebAssign 40 1997-2016 Advanced Instructional Systems, Inc. All rights reserved.

Solution

4sin theta cos theta + 2sqrt3 cos theta -2sqrt3 sin theta -3=0

2 cos theta (2sin theta + sqrt3 ) - sqrt3(2 sin theta + sqrt3)=0

(2cos theta - sqrt3)(2sin theta + sqrt3)=0

2cos theta - sqrt3=0    and   2sin theta+sqrt3=0

cos theta=sqrt3/2          and   sin theta =-sqrt3/2

theta=cos^-1(sqrt3/2)     and      theta= sin^-1(-sqrt3/2)

theta= 2pi k -(pi/6), 2pi k +(pi/6)    and theta= 2pi k -(2pi/3) , 2pi k-(pi/3)