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om Math 1012-63393 Martin Sp18 TR 9:30 Homework: Homework 6.5a Score: 0 of 1 pt

ID: 2920334 • Letter: O

Question

om Math 1012-63393 Martin Sp18 TR 9:30 Homework: Homework 6.5a Score: 0 of 1 pt 6.5.29 6 of 13 (1 complete) Solve the following equation on the interval [0.2?). cot(3x) 13 Select the correct choice below and, if necessary, fill in the answer box to complete y (Type an exact answer, using ? as needed. Use a comma to separate answer radians. Simplify your answer. Use integers or fractions for any numbers in th There is no solution. B. Click to select and enter your answers) and then click Check Answer. All parts showing ear All

Explanation / Answer

1) cot (3x ) = sqrt 3

3x = pi/6 + npi

x = pi/18 + npi/3

solution is

x = 7pi/18 , pi/18 , 13pi/18 , 25pi/18 , 19pi/18

2) tan (x/2) = sqrt 3

x/2 = pi/3 + npi

x = 2 pi/3 + 2 npi

solution is

x = 2pi/3

3)  sin 2 theta / 5 = -1

2 theta /5 = 3pi/2 + 2npi

theta = no solution

4) 2 sin^2 theta - sin theta -1 = 0

( sin theta -1 ) ( 2 sin tehta +1 ) = 0

sin theta = 1 , sin theta = -1/2

theta = 7pi/6 , 11pi/6 , pi/2