Question

If sin(x) = 1/2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Answer 1

first of all you need to find angles such that sin(x)=1/2

Answer 2

How do I do that exactly? Sorry I am just terrible at math :/

Answer 3

there are two such angles:

the first one is well-known - x=30 degrees
the another is easy to find - 180deg - 30deg = 150 deg

Answer 4

in both cases cos(x) and tan(x) are different.

when x=30:
\[\cos(x)=\sqrt3/2\]
\[\tan(x)=\sqrt3/3\]

Answer 5

when x=150 deg
\[\cos(x)=-\sqrt3/2\]
\[\tan(x)=-\sqrt3/3\]