Pertanyaan

sec 3 0 ∘ + csc 3 0 ∘ cos 4 5 ∘ = ...

$\frac{cos 4 5 ^{\circ}}{sec 3 0 ^{\circ} + csc 3 0 ^{\circ}}$ = ...

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nilai dari adalah .

nilai dari $fraction numerator cos space 45 degree over denominator sec space 30 degree plus csc space 30 degree end fraction$ adalah negative 1 over 8 left parenthesis square root of 6 minus 3 square root of 2 right parenthesis

negative 1 over 8 left parenthesis square root of 6 minus 3 square root of 2 right parenthesis

Pembahasan

Jadi, nilai dari adalah .

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cos space 45 degree over denominator sec space 30 degree plus csc space 30 degree end fraction end cell equals cell fraction numerator cos space 45 degree over denominator begin display style fraction numerator 1 over denominator cos space 30 degree end fraction end style plus begin display style fraction numerator 1 over denominator sin space 30 degree end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style 1 half end style square root of 2 over denominator begin display style fraction numerator 1 over denominator begin display style 1 half end style square root of 3 end fraction end style plus begin display style fraction numerator 1 over denominator begin display style 1 half end style end fraction end style end fraction end cell row blank equals cell fraction numerator 1 half square root of 2 over denominator begin display style fraction numerator 1 plus square root of 3 over denominator begin display style 1 half end style square root of 3 end fraction end style end fraction end cell row blank equals cell 1 half square root of 2 cross times fraction numerator 1 half square root of 3 over denominator 1 plus square root of 3 end fraction end cell row blank equals cell fraction numerator begin display style 1 fourth end style square root of 6 over denominator 1 plus square root of 3 end fraction end cell row blank equals cell fraction numerator begin display style 1 fourth square root of 6 end style over denominator 1 plus square root of 3 end fraction cross times fraction numerator 1 minus square root of 3 over denominator 1 minus square root of 3 end fraction end cell row blank equals cell fraction numerator 1 fourth square root of 6 minus 1 fourth square root of 18 over denominator 1 minus 3 end fraction end cell row blank equals cell fraction numerator begin display style 1 fourth end style left parenthesis square root of 6 minus 3 square root of 2 right parenthesis over denominator negative 2 end fraction end cell row blank equals cell negative 1 over 8 left parenthesis square root of 6 minus 3 square root of 2 right parenthesis end cell end table$

Jadi, nilai dari $fraction numerator cos space 45 degree over denominator sec space 30 degree plus csc space 30 degree end fraction$ adalah negative 1 over 8 left parenthesis square root of 6 minus 3 square root of 2 right parenthesis .

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