02 Mail G Flight x 8.5 www.webassign.net/weblStudentIAssignment-Responsesisubmit

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02 Mail G Flight x 8.5 www.webassign.net/weblStudentIAssignment-Responsesisubmit?depa15684100NQ12 Y Yahoo RN f Facebook YouTube OAmazon Eeaay Outlook instagram N Netflix Diablo valey colege o oVERDOPE os Mail -chung wuchen Mp4Ba Home-student 94.036 Use a calculator to find all solutions in the interval (0, 2m). Round the answers to two decimal places. (Enter your answers as a comma-separated list. If there is no solution, enter M 10 sin? x 33 sin x 20 0 -n points CohenPCalcT9A 041. Find all solutions in the interval o s 8 s 360 where necessary, use a calculator and round to one decimal place. (Enter your answers as a comma-separated list.) 2s tan 6 36 0 Need Help? Read -1 points coherPCaen in the interval o s 0 s 360. where necessary, use a cakulator and neurd to one decimal place. CEnter your answers as a comma-separated list. tan? 0-tan e 9 o Practioe Another Version O-1 points Cohen 94046 all of the solutions in the interval o 9 36o (Enter your answers as a comma separated list.)

Explanation / Answer

11) 10sin2x - 33sinx + 20 = 0

      = 10sin2x - 25sinx - 8sinx + 20 = 0

      or, 5sinx(2sinx - 5) - 4(2insx - 5) = 0

      (2sinx - 5)(5sinx - 4) = 0

      But max value of 2sin x is 2, so, 2sin x = 5 has no solution

      => 5 sin x = 4 or sin x = 4/5 is the answer

      x = sin-14/5. Converting into radians, x = (53.1, 126.9)

12) 25tan2x - 36 = 0

     or tan2x = 36/25

    => tan x = +- 6/5 or x = tan-16/5

    Solution is x = (50.2, 140.2, 230.2, 320,2)

14) cos3x = -1

     We know cos 180 = -1

      => 3x = 180 or x = 60 degrees

     Similarly 3x = 540 and 1080 yielding x = 180 and 360

     Therefore, solution set is x = {60, 180, 360}

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