Nilai tan x yang memenuhi persamaan cos 2x + 7 cos x - 3 = 0 adalah.....
a.
b. 1/2
c. 1/2
d. 1/2
e. 1/5
a.
b. 1/2
c. 1/2
d. 1/2
e. 1/5
dari Nofiaekaa
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cos 2x + 7.cos x - 3 = 0
2.cos² x - 1 + 7.cos x - 3 = 0
2.cos² x + 7.cos x - 4 = 0
(2.cos x - 1)(cos + 4) = 0
2.cos x - 1 = 0 atau cos x + 4 = 0
2cos x = 1 atau cos x = - 4 (tak memenuhi)
cos x =
------> pers i
sin² x = 1 - cos² x
= 1 -
= 1 -
=
sin x =
=
tan x =
=
= √3
2.cos² x - 1 + 7.cos x - 3 = 0
2.cos² x + 7.cos x - 4 = 0
(2.cos x - 1)(cos + 4) = 0
2.cos x - 1 = 0 atau cos x + 4 = 0
2cos x = 1 atau cos x = - 4 (tak memenuhi)
cos x =
sin² x = 1 - cos² x
= 1 -
= 1 -
=
sin x =
=
tan x =
=
= √3
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