Pertanyaan

Diketahui α = 4 5 ∘ dan β = 6 0 ∘ . Hitung d. 1 − ( tan 4 5 ∘ × tan 6 0 ∘ ) tan 4 5 ∘ + tan 6 0 ∘

Diketahui $α = 4 5^{\circ}$ dan $β = 6 0^{\circ}$ . Hitung

d. $\frac{tan 4 5 ^{\circ} + tan 6 0 ^{\circ}}{1 - ( tan 4 5 ^{\circ} \times tan 6 0 ^{\circ} )}$

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator tan space 45 degree plus tan space 60 degree over denominator 1 minus open parentheses tan space 45 degree cross times tan space 60 degree close parentheses end fraction end cell equals cell fraction numerator 1 plus square root of 3 over denominator 1 minus open parentheses 1 cross times square root of 3 close parentheses end fraction end cell row blank equals cell fraction numerator 1 plus square root of 3 over denominator 1 minus square root of 3 end fraction end cell row blank equals cell fraction numerator 1 plus square root of 3 over denominator 1 minus square root of 3 end fraction cross times fraction numerator 1 plus square root of 3 over denominator 1 plus square root of 3 end fraction end cell row blank equals cell fraction numerator 1 plus 2 square root of 3 plus 3 over denominator 1 minus 3 end fraction end cell row blank equals cell fraction numerator 4 plus 2 square root of 3 over denominator negative 2 end fraction end cell row blank equals cell negative 2 minus square root of 3 end cell end table end style$