Practice problems for basic trig functions.

In this picture of a right triangle, let's call the hypotenuse c, the short leg opposite angle alpha a, and b will be the long leg opposite beta.  (Another way to say this is a is the height [or altitude, if you prefer], and b is the base.)  Here are some possible values for the lengths.  Given these lengths, find the requested trig functions for the given angles.  Write the values as fractions in lowest terms.

Let a = 8, b = 15 and c = 17.

a) sin alpha = __________

b) tan beta = ___________

c) cos beta = ___________

d) tan alpha = __________

Let a = 7, b = 24 and c = 25.

e) cos alpha = __________

f) tan beta = ___________

g) cos beta = ___________

h) tan alpha = __________

Answers in the comments.