kak bantuin dong pakai cara yaa 15 dan 16
Matematika
hallo16
Pertanyaan
kak bantuin dong pakai cara yaa 15 dan 16
1 Jawaban
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1. Jawaban DB45
15.
sin² 45 = (¹/₂ √2)² = 1/2
sin² 60 = (¹/₂ √3)² = 3/4
cos² 45 = (¹/₂ √2)² = 1/2
cos² 60 =( ¹/₂)² =1/4
tan 30 = 1/√3
tan 60 = √3
(sin² 45 .sin² 60 + cos² 45 cos² 60) / tan 30 . tan 60 =
= (1/2 x 3/.4 + 1/2 x 1/4) / (1/√3)(√3)
= ( 3/8 + 1/8)/ (1)
= 4/8
= 1/2
16.
(sin 270 . cos 135 - tan 135) / ( sin 150. cos 225) =
= { (-1)(-1/2 √2) - (-1) } / ( 1/2 √3)(- 1/2 √2)
= (1/2 √ 2 + 1) / ( -1/4 √6) ...kalikn 4√6 / 4√6
= (1/2 √ 2 + 1)(4√6) / (-1/4 √6)(4√6)
= (2√12 + 4√6)/ (-6)
= ( 2 (2√3) + 4√6) / (-6)
= (4√3 + 4√6) / -6
= -4/6 (√3 + √6)
= - 2/3 (√3 + √6)