testld161125938 17SUCMP MAT 112 20102 EArroyo Quiz Week 7 Qu

testld-161125938 17SUCMP MAT 112 20102 EArroyo Quiz: Week 7 Quiz This Question: 1 pt 15 of 25 (0 c solve the equation on the interval 0 2x sec 28-tan 0:0 sec20+ tan 0 0 Select the correct choice below and fill in any answer boxes in your choice. The solution set is{} (Use a comma to separate answers as needed Type an exadt answer. using x as needed use integers or fractions tor any numbers in he expression ) A. x as needed Use integers or fractions for any numbers in the express 0 B. There is no solution. Click to select and enter your answer(s)

Solution

sec^2 theta + tan theta = 0

sec^2 theta = 1 + tan^2 theta

so equation becomes

1 + tan^2 theta + tan theta = 0

tan theta =( -1 + i sqrt 3 ) / 2 , ( -1 - i sqrt 3 ) /2

therefore ,

the equation has no solutions

2nd option is correct