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Hitunglah nilai dari setiap pernyataan trigonometri berikut sec 3 0 ∘ + cos 6 0 ∘ + cot 4 5 ∘ sin 3 0 ∘ + tan 4 5 ∘ − csc 6 0 ∘

Hitunglah nilai dari setiap pernyataan trigonometri berikut

$\frac{sin 3 0 ^{\circ} + tan 4 5 ^{\circ} - csc 6 0 ^{\circ}}{sec 3 0 ^{\circ} + cos 6 0 ^{\circ} + cot 4 5 ^{\circ}}$

F. Ayudhita

Master Teacher

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator sin space 30 degree plus tan space 45 degree minus csc space 60 degree over denominator sec space 30 degree plus cos space 60 degree plus cot space 45 degree end fraction end cell row blank equals cell fraction numerator begin display style 1 half plus 1 minus 2 over 3 square root of 3 end style over denominator begin display style 2 over 3 square root of 3 plus 1 half plus 1 end style end fraction cross times 6 over 6 end cell row blank equals cell fraction numerator 3 plus 6 minus 4 square root of 3 over denominator 4 square root of 3 plus 3 plus 6 end fraction end cell row blank equals cell fraction numerator left parenthesis 9 minus 4 square root of 3 right parenthesis over denominator left parenthesis 9 plus 4 square root of 3 right parenthesis end fraction cross times fraction numerator left parenthesis 9 minus 4 square root of 3 right parenthesis over denominator left parenthesis 9 minus 4 square root of 3 right parenthesis end fraction end cell row blank equals cell fraction numerator 81 minus 72 square root of 3 plus 48 over denominator 81 minus 48 end fraction end cell row blank equals cell fraction numerator 129 minus 72 square root of 3 over denominator 33 end fraction end cell row blank equals cell fraction numerator 3 left parenthesis 43 minus 24 square root of 3 right parenthesis over denominator 33 end fraction end cell row blank equals cell 1 over 11 left parenthesis 43 minus 24 square root of 3 right parenthesis end cell end table end style$