Question

Use the Special Right Triangle to evaluate sin 60°, cos 60° and tan 60°. Your answers should be exact (not a decimal).
A. sin 60 = 1/2, cos 60 = √3/2, tan 60 = √3/3
B. sin 60 = √2/2, cos 60 = √2/2, tan 60 = 1
C. sin 60 = 1, cos 60 = 0, tan 60 = undefined
D. sin 60 = √3/2, cos 60 = 1/2, tan 60 = √3

Answer 1

@blurbendy

Answer 2

for a 30-60-90 triangle the units are:
30 degrees: x
60 degrees: root 3 times x
90 degrees: 2x

sin 60 = opposite/hypotenuse
\[\sin 60 = \sqrt{3}/2\]

cos 60 = adjacent/hypotenuse
\[\cos 60 = x/2x = 1/2\]

tan 60 = opposite/adjacent
\[\tan 60 = \sqrt{3}/1 = \sqrt{3}\]