Name_____________________________________________
HW34: Simplifying Trig Expressions using TrigIDs Day1
Date____________________
Ms. Wong, Trigonometry
STUDENTS MUST SHOW ALL WORK TO RECEIVE ANY CREDIT
Simplify each expression. Be sure to identify what identity was used in each step. Place the
corresponding letter from the answer bank on the line provided next to each question.
Answer Bank
A. 1
B. sin2 𝑥
C. tan 𝑥
D. − sin3 𝑥
E. − sin 𝑥
F. cos 𝑥
G. −1
H. tan2 𝑥
I. 2 sin 𝑥
J. sin 𝑥
_______1. sin 𝑥 cos2 𝑥 − sin 𝑥
_______2. cos2 𝑥 csc 𝑥 − csc 𝑥
_______3. sin 𝑥 + tan 𝑥 cos 𝑥
_______4. csc 𝑥 − cos 𝑥 cot 𝑥
STUDENTS MUST SHOW ALL WORK TO RECEIVE ANY CREDIT
Simplify each expression. Be sure to identify what identity was used in each step. Place the
corresponding letter from the answer bank on the line provided next to each question.
cos2 𝑥−1
_______5. cos2 𝑥 tan2 𝑥
tan2 𝑥+1
_______6. cos 𝑥 (sec 𝑥 − cos 𝑥)
_______7. 1+cot2 𝑥
_______8. sec 𝑥 tan 𝑥 cos 𝑥
_______9. sin2 𝑥 cot 𝑥 csc 𝑥
_______10.
1−cos2 𝑥
sin2 𝑥