Question

Which value is NOT defined?

(A) tan 0
(B) tan π
(C) tan 3π/2
(D) 1 / tanπ/4

Answer 1

(C) tan 3pi/2

Explanation:

See image. You can use the Unit Circle to help you find these answers. The Unit Circle looks like scary math chaos pizza, but it really is just a great big giant answer key. It has all the trig answers on it.

(If you use your calculator instead be sure to change it to radian mode.)

See image.

Tangent for any angle is the y/x.

Only tan 3pi/2 is undefined.

At 3pi/2 the x and y are (0,1) so tangent is 1/0 which is undefined.