diketahui sin x=1/3√3, maka tan(1/2phi-x) + 3cosx adalah

trigonometri

sin X = 1/3  √3 = (√3)/(3) =  y/r
y = √3,
r = 3
x² = r² - y² = 9-3= 6
x = √6

cos X = x/r = (√6)/3
cot X = x/y = (√6)/(√3) = √2

tan (1/2 pi - x) + 3 cos x =
= cot X + 3 cos X
= √2 + 3 ( √6)/(3)
= √2 + √6