Math 114
Name_________________________
Section 3.1
Online Work (formerly known as group work)
Due: 4/2 for my M/W class
4/3 for my T/TH class
Verify the following identities. Clearly show each step and only work from one side of the
equation. (2 points each)
1)
csc 𝑥
cos 𝑥
― cot 𝑥 = tan 𝑥
3) csc4 𝑥 ― cot4 𝑥 = 2csc2 𝑥 ― 1
2) sec2 𝑥cot 𝑥 ― cot 𝑥 = tan 𝑥
4)
tan 𝑥
sec 𝑥 ― 1
=
sec 𝑥 + 1
tan 𝑥
5) tan 𝑥 + cot 𝑥 = sec 𝑥csc 𝑥
Rewrite each expression in terms of the given function (you answer may only contain the given
trigonometric function)
1
cos 𝑥
6) 1 ― cos 𝑥 ― 1 + cos 𝑥 ; csc 𝑥