Hitunglah nilai dari tan 165°-tan 15°
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= tan (180-15) - tan 15
= - tan 15 - tan 15
= - 2 tan 15
= - 2 tan (45-30)
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= - 2 [ tan 45 - tan 30] / [ 1 + tan 45. tan 30]
= - 2[ 1 - 1/3 √3 ] / [1 + 1(1/3 √3)]
= -2[3 - √3] / [ 3+√3]
= (-2/6) (12 - 6√3)
= -4 + 2√3