2 os lcos340 04 01300 04 x4 21 Solution1 4 cos2 theta 2 cos

2 os\' lcos-340 04 01300 04 x4 21

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

taking 2 cos theta as gcf

2 cos theta ( 2 cos theta -1 ) = 0

2 cos theta = 0 , 2 cos theta -1 = 0

cos theta = 1/2 , cos theta = 0

solutions in the range [ 0, 2pi ] is

theta = pi/3 , 5pi/3 , 3pi/2 , pi/2

2) 4 csc^2 theta + 12 csc theta +8 = 0

factoring the equation

4 ( csc^2 theta + 3 csc theta + 2 ) = 0

4 ( csc theta + 2) ( csc theta + 1 ) = 0

csc theta = -2 , csc theta = -1

solution in the range [ 0,2pi ] are

theta = 7pi/6 , 3pi/2

$2 os\' lcos-340 04 01300 04 x4 21 Solution1) 4 cos^2 theta - 2 cos theta = 0 taking 2 cos theta as gcf 2 cos theta ( 2 cos theta -1 ) = 0 2 cos theta = 0 , 2 c$

2 os lcos340 04 01300 04 x4 21 Solution1 4 cos2 theta 2 cos

Solution

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