Secondary 3 Honors Worksheet 6C-1
Simplifying trig expressions
Name_______________________________
Period ________
Simplify each expression:
1.
3.
5.
csc 𝑥
cot 𝑥
1− 𝑐𝑜𝑠 2 𝜃
𝑡𝑎𝑛2 𝜃
tan 𝑥+ cot 𝑥
tan 𝑥
sec2 𝜃
2. tan 𝜃 −
4.
1
1− cos 𝑥
tan 𝜃
+
6. cos 𝜃 −
1
1+ cos 𝑥
1
cos 𝜃
7. cot 𝑥 +
9.
sin 𝑥
1+ cos 𝑥
1
8. (sin 𝑥 − cos 𝑥)2
cot 𝑥
+
1+ cos 𝑥
sin 𝑥
Factor and simplify if possible:
10. 𝑐𝑜𝑠 2 𝜃 − 𝑠𝑖𝑛2 𝜃
11. 𝑡𝑎𝑛2 𝜃 − 𝑡𝑎𝑛𝜃 − 6
12. 2𝑠𝑖𝑛2 𝜃 − 𝑠𝑖𝑛𝜃 − 1
13. 𝑐𝑜𝑠 4 𝜃 − 𝑠𝑖𝑛4 𝜃