Pertanyaan

Nilai dari sin 28 5 ∘ tan 25 5 ∘ × cos 1 5 ∘ cos 10 5 ∘ adalah ….

Nilai dari $\frac{tan 25 5 ^{\circ}}{sin 28 5 ^{\circ}} \times \frac{cos 10 5 ^{\circ}}{cos 1 5 ^{\circ}}$ adalah ….

sin 15°
cos 15°
tan 15°
sec 15°
cosec 15°

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Jawaban terverifikasi

Pembahasan

Ingat aturan sudut berelasi berikut ini : Maka,

Ingat aturan sudut berelasi berikut ini :

cos space open parentheses 90 degree plus x close parentheses equals negative sin space x tan space open parentheses 270 degree minus x close parentheses equals cot space x sin space open parentheses 270 degree plus x close parentheses equals negative cos space x

Maka,

$fraction numerator tan space 255 degree over denominator sin space 285 degree end fraction cross times fraction numerator cos space 105 degree over denominator cos space 15 degree end fraction equals fraction numerator tan space open parentheses 270 degree minus 15 degree close parentheses over denominator sin space open parentheses 270 degree plus 15 degree close parentheses end fraction cross times fraction numerator cos space open parentheses 90 degree plus 15 degree close parentheses over denominator cos space 15 degree end fraction equals fraction numerator cot space 15 degree over denominator negative cos space 15 degree end fraction cross times fraction numerator negative sin space 15 degree over denominator cos space 15 degree end fraction equals negative fraction numerator fraction numerator cos space 15 degree over denominator sin space 15 degree end fraction over denominator cos space 15 to the power of o end fraction cross times fraction numerator negative sin space 15 degree over denominator cos space 15 degree end fraction equals negative fraction numerator 1 over denominator sin space 15 degree end fraction cross times fraction numerator negative sin space 15 degree over denominator cos space 15 degree end fraction equals fraction numerator 1 over denominator cos space 15 degree end fraction equals sec space 15 degree$