Trigonometri
(3)
(tan 2x - sin 2x) / (2 tan 2x)
= { sin 2x /cos 2x - sin 2x ) / ( 2 sin 2x / cos 2x} . (kalikan cos 2x/cos 2x)
= ( sin 2x - sin 2x cos 2x ) /(2 sin 2x)
= { sin 2x ( 1 - cos 2x) / sin 2x (2)
= (1 - cos 2x) / (2)
= (1 - (1 - 2 sin² x)) / (2)
= (2 sin² x )/(2)
= sin² x
**
(5) dari gambar
cos θ= 7/8
cos (θ+θ) = 7/x
2 cos²θ - 1 = 7/x
2 (7/8)² - 1 = 7/x
2(49/64) - 1 = 7/x
49/32 - 1 = 7/x
(49 - 32)/32 = 7/x
17/32 = 7/x
x = 7 (32)/(17)
x= 13,18
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Trigonometri
(3)
(tan 2x - sin 2x) / (2 tan 2x)
= { sin 2x /cos 2x - sin 2x ) / ( 2 sin 2x / cos 2x} . (kalikan cos 2x/cos 2x)
= ( sin 2x - sin 2x cos 2x ) /(2 sin 2x)
= { sin 2x ( 1 - cos 2x) / sin 2x (2)
= (1 - cos 2x) / (2)
= (1 - (1 - 2 sin² x)) / (2)
= (2 sin² x )/(2)
= sin² x
**
(5) dari gambar
cos θ= 7/8
cos (θ+θ) = 7/x
2 cos²θ - 1 = 7/x
2 (7/8)² - 1 = 7/x
2(49/64) - 1 = 7/x
49/32 - 1 = 7/x
(49 - 32)/32 = 7/x
17/32 = 7/x
x = 7 (32)/(17)
x= 13,18