Pertanyaan

Hitunglah nilai dari: a. sin 12 0 ∘ b. cos 15 0 ∘ c. tan 13 5 ∘ d. cosec 15 0 ∘ e. cot 12 0 ∘

Hitunglah nilai dari:

a. $sin 12 0^{\circ}$
b. $cos 15 0^{\circ}$
c. $tan 13 5^{\circ}$
d. $cosec 15 0^{\circ}$
e. $cot 12 0^{\circ}$

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Pembahasan

Dengan menggunakan rumus trigonometri sudut berelasi pada kuadran II, maka: sin ( 180 − a ) ∘ cos ( 180 − a ) ∘ tan ( 180 − a ) ∘ cos ec ( 180 − a ) ∘ cot ( 180 − a ) ∘ a . sin 12 0 ∘ b . cos 15 0 ∘ c . tan 13 5 ∘ d . cosec 15 0 ∘ e . cot 12 0 ∘ = = = = = = = = = = = = = = = = = = = = sin a ∘ − cos a ∘ − tan a ∘ cos ec a ∘ − cotan a ∘ sin ( 180 − 60 ) ∘ sin 6 0 ∘ 2 1 3 cos ( 180 − 30 ) ∘ − cos 3 0 ∘ − 2 1 3 tan ( 180 − 45 ) ∘ − tan 4 5 ∘ − 1 cosec ( 180 − 30 ) ∘ cosec 3 0 ∘ 2 cot ( 180 − 60 ) ∘ − cot 6 0 ∘ 3 3 Jadi, .

Dengan menggunakan rumus trigonometri sudut berelasi pada kuadran II, maka:

$sin (180 - a)^{\circ} cos (180 - a)^{\circ} tan (180 - a)^{\circ} cos ec (180 - a)^{\circ} cot (180 - a)^{\circ} a . sin 12 0^{\circ} b . cos 15 0^{\circ} c . tan 13 5^{\circ} d . cosec 15 0^{\circ} e . cot 12 0^{\circ} = = = = = = = = = = = = = = = = = = = = sin a^{\circ} - cos a^{\circ} - tan a^{\circ} cos ec a^{\circ} - cotan a^{\circ} sin (180 - 60)^{\circ} sin 6 0^{\circ} \frac{1}{2} 3 cos (180 - 30)^{\circ} - cos 3 0^{\circ} - \frac{1}{2} 3 tan (180 - 45)^{\circ} - tan 4 5^{\circ} - 1 cosec (180 - 30)^{\circ} cosec 3 0^{\circ} 2 cot (180 - 60)^{\circ} - cot 6 0^{\circ} \frac{3}{3}$

Jadi,

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blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight c end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank tan end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 135 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row 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columnspacing 0px end attributes row blank blank cosec end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 150 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank blank row blank blank blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes 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