Pre-Calculus AB Worksheet 1 Name: 9.1: Identities and Proofs Date:

Pre-Calculus AB Worksheet 1
Name: _________________________________
9.1: Identities and Proofs
Date: _________________________ Per: _____
Prove the identity. Do all work on your own paper……show your steps!
1) tan x cos x  sin x
2) cos x sec x  1
3) tan x csc x  sec x
4)
5) 1  cos x 1  cos x   sin 2 x
6) sec2 x 1  cos 2 x   tan 2 x
7)
csc x
 cot x
sec x
tan x
 sin x
sec x
8) cos x  sec x  cos x   sin 2 x
1
1

1
2
1  tan x 1  cot 2 x
9) cos x  sin x tan x  sec x
10)
11) csc x  sin x  cos x cot x
12)  sec x  1 csc x  cot x   tan x
Pre-Calculus AB Worksheet 2
Name: _________________________________
9.1A: Identities and Proofs
Date: _________________________ Per: _____
Prove the identity. Do all work on your own paper……show your steps!
1) cot x sin x  cos x
2)
3) sec x cot x  csc x
4)
5)
sec x
 tan x
csc x
sin 2 x  cos 2 x
 cot x
tan x
 csc x  1 csc 1  cot 2 x
6) sec x  csc x  cot x cos x   tan x
sec 2 x  1
 tan 4 x
csc 2 x  1
7) csc x 1  cos 2 x   sin x
8)
9) tan x  cot x  sec x csc x
10) sin x  csc x  sin x sec2 x   sec2 x
11) sec2 x  csc2 x  sec2 x csc2 x
12)
 tan x  sin x 1  cos x   sin 2 x tan x