Simplify trigonometric expressions with identities
12th grade (Year 13 in England) Ā· 16 questions Ā· Common Core: HSF.TF.C.8 Ā· England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
Simplify: sinĀ²x/(1 ā sinĀ²x)
- A. sin x
- B. tanĀ²x
- C. cos x
- D. tan x
Question 2
Simplify: (1 ā sinĀ²x)/cos x
- A. cosĀ²x
- B. tanĀ²x
- C. 1
- D. cos x
Question 3
Simplify: 1 ā cosĀ²x
- A. cosĀ²x
- B. 1 + tanĀ²x
- C. sinĀ²x
- D. sin x
Question 4
Simplify: cos x Ā· tan x
- A. 1 + tanĀ²x
- B. tanĀ²x
- C. cosĀ²x
- D. sin x
Question 5
Simplify: sinĀ²x + cosĀ²x + tanĀ²x
- A. 1
- B. sin x
- C. 1 + tanĀ²x
- D. tanĀ²x
Question 6
Simplify: 1 ā sinĀ²x
- A. 1 + tanĀ²x
- B. cos x
- C. cosĀ²x
- D. tan x
Question 7
Simplify: sinĀ²x/(1 ā sinĀ²x)
- A. 0
- B. tanĀ²x
- C. cos x
- D. sinĀ²x
Question 8
Simplify: (sin x + cos x)Ā² ā 2 sin x cos x
- A. tan x
- B. 1
- C. sinĀ²x
- D. sin x
Question 9
Simplify: sinĀ²x/(1 ā sinĀ²x)
- A. tanĀ²x
- B. 1
- C. 1 + tanĀ²x
- D. cos x
Question 10
Simplify: (1 ā sinĀ²x)/cos x
- A. 0
- B. 1 + tanĀ²x
- C. cos x
- D. tan x
Question 11
Simplify: sin x / tan x
- A. 1
- B. cosĀ²x
- C. sin x
- D. cos x
Question 12
Simplify: cos x Ā· tan x
- A. sin x
- B. cos x
- C. 0
- D. tanĀ²x
Question 13
Simplify: (1 ā sinĀ²x)/cos x
- A. sinĀ²x
- B. tan x
- C. cos x
- D. tanĀ²x
Question 14
Simplify: 1 ā sinĀ²x
- A. cos x
- B. sinĀ²x
- C. cosĀ²x
- D. tan x
Question 15
Simplify: cos x Ā· tan x
- A. sin x
- B. 1 + tanĀ²x
- C. tanĀ²x
- D. cosĀ²x
Question 16
Simplify: (sin x + cos x)Ā² ā 2 sin x cos x
- A. 1
- B. sinĀ²x
- C. tanĀ²x
- D. 1 + tanĀ²x
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