Bagi bagi koin Berapa hasil dari sin(75) + cos 75 - tan 30

Bagi bagi koin
Berapa hasil dari sin(75) + cos 75 – tan 30

$rm to dfrac {sqrt{6}}{2} - dfrac {sqrt{3}}{3}$

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Pembahasan

$rm = sin~75° + cos~75° - tan~30°$

$rm = sin~75° + sin~15° - dfrac {sin~30°}{cos~30°}$

$rm = 2 sin~(frac {75°+15°}{2})~cos~(frac {75°-15°}{2}) - dfrac {frac {1}{2}}{frac {1}{2}sqrt{3}}$

$rm = 2 sin~45°cos~30° - dfrac {1}{3}sqrt{3}$

$rm = 2 (frac{1}{2}sqrt{2})(frac {1}{2}sqrt{3}) - dfrac {1}{3}sqrt {3}$

$rm = dfrac {1}{2}sqrt{6} - dfrac {1}{3}sqrt{3}$

$rm = dfrac {sqrt{6}}{2} - dfrac {sqrt{3}}{3}$