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Nilai dari adalah ...

Nilai dari tan 75 degree adalah ...

  1. 4 plus square root of 3

  2. 2 plus square root of 3

  3. 4 minus square root of 3

  4. 2 minus square root of 3

  5. negative 2 plus square root of 3

Jawaban:

tan 75 degree space equals space tan left parenthesis space 45 degree space plus space 30 degree right parenthesis  equals fraction numerator tan 45 degree space plus space tan 30 degree over denominator 1 minus tan 45 degree. space tan 30 degree end fraction  equals fraction numerator 3 plus square root of 3 over denominator 3 end fraction. space fraction numerator 3 over denominator 3 minus square root of 3 end fraction  equals fraction numerator 3 plus square root of 3 over denominator 3 minus square root of 3 end fraction. space fraction numerator 3 plus square root of 3 over denominator 3 plus square root of 3 end fraction  equals fraction numerator 9 plus 6 square root of 3 plus 3 over denominator 9 minus 3 end fraction  equals fraction numerator 12 plus 6 square root of 3 over denominator 6 end fraction equals 2 plus square root of 3

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