Need help with this question. Here goes:
Find the values of x, where 0 deg < x < 180 deg, such that
8 cosec 2x cot 2x = 3
Thanks guys!
cot 2x = cos 2x * cosec 2x
hence, 8 cosec 2x cos 2x cosec 2x = 3
8 cos 2x = 3 (sin 2x )^2
8 cos 2x = 3 - 3 (cos 2x )^2
3 (cos 2x )^2 + 8 cos 2x - 3 = 0
(3 cos 2x -1) (cos 2x + 3) = 0
cos 2x = 1/3 or cos 2x = -3 (reject because cos is between -1 and 1)
0 deg < x < 180 deg
0 deg < 2x < 360 deg
so 2x = 70.53, 298.47
x = 35.3 deg, 144.7 deg
Regards,
Eagle (Strategic Tuition)