Pertanyaan

cos 7 5 ∘ − cos 1 5 ∘ = ....

$cos 7 5^{\circ} - cos 1 5^{\circ} = ....$

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Jawaban terverifikasi

Pembahasan

Diketahui: Nilai dari adalah

Diketahui:

$table attributes columnalign right center left columnspacing 0px end attributes row cell cos space 15 degree end cell equals cell sin open parentheses 45 degree minus 30 degree close parentheses end cell row blank equals cell cos space 45 degree times cos space 30 degree plus sin space 45 degree times sin space 30 degree end cell row blank equals cell fraction numerator square root of 2 over denominator 2 end fraction times fraction numerator square root of 3 over denominator 2 end fraction plus fraction numerator square root of 2 over denominator 2 end fraction times 1 half end cell row blank equals cell fraction numerator square root of 2 over denominator 4 end fraction open parentheses square root of 3 plus 1 close parentheses end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell cos space 75 degree end cell equals cell cos space open parentheses 45 degree plus 30 degree close parentheses end cell row blank equals cell cos space 45 degree times cos space 30 degree minus sin space 45 degree times sin space 30 degree end cell row blank equals cell open parentheses fraction numerator square root of 2 over denominator 2 end fraction close parentheses open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses minus open parentheses fraction numerator square root of 2 over denominator 2 end fraction close parentheses open parentheses 1 half close parentheses end cell row blank equals cell fraction numerator square root of 6 minus square root of 2 over denominator 4 end fraction end cell end table$

Nilai dari cos 75 degree minus cos 15 degree adalah

$table attributes columnalign right center left columnspacing 0px end attributes row cell cos 75 degree minus cos 15 degree end cell equals cell fraction numerator square root of 6 minus square root of 2 over denominator 4 end fraction minus fraction numerator square root of 6 plus square root of 2 over denominator 4 end fraction end cell row blank equals cell fraction numerator square root of 6 minus square root of 2 minus square root of 6 minus square root of 2 over denominator 4 end fraction end cell row blank equals cell fraction numerator negative 2 square root of 2 over denominator 4 end fraction end cell row blank equals cell fraction numerator negative square root of 2 over denominator 2 end fraction end cell end table$