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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