Back to the lesson and practice
PrintablePractice worksheet
Do itšŸ–Øļø On paperāœļø On screen
Layout1 column2 columns
Answer keyNoneAnswersWith steps
Questions10162430
LevelEasierMixedHarder
Print sizeNormalLarge print
New copyMake a new one

Free to print and copy for home or class. This link always prints the same sheet.

eurekami

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

  1. Question 1

    Simplify: (1 āˆ’ sinĀ²x)/cos x

    • A. 1 + tanĀ²x
    • B. cos x
    • C. tanĀ²x
    • D. sinĀ²x

  2. Question 2

    Simplify: 1 āˆ’ sinĀ²x

    • A. 1
    • B. sin x
    • C. cosĀ²x
    • D. tanĀ²x

  3. Question 3

    Simplify: (1 āˆ’ sinĀ²x)/cos x

    • A. sinĀ²x
    • B. cos x
    • C. tan x
    • D. sin x

  4. Question 4

    Simplify: sinĀ²x + cosĀ²x + tanĀ²x

    • A. 1 + tanĀ²x
    • B. sinĀ²x
    • C. tan x
    • D. 1

  5. Question 5

    Simplify: sinĀ²x + cosĀ²x + tanĀ²x

    • A. 1 + tanĀ²x
    • B. sin x
    • C. cos x
    • D. 1

  6. Question 6

    Simplify: 1 āˆ’ cosĀ²x

    • A. sinĀ²x
    • B. 1 + tanĀ²x
    • C. tan x
    • D. 1

  7. Question 7

    Simplify: (sin x + cos x)Ā² āˆ’ 2 sin x cos x

    • A. 0
    • B. 1
    • C. cosĀ²x
    • D. sinĀ²x

  8. Question 8

    Simplify: (sin x + cos x)Ā² āˆ’ 2 sin x cos x

    • A. sinĀ²x
    • B. 1
    • C. tanĀ²x
    • D. cosĀ²x

  9. Question 9

    Simplify: cos x Ā· tan x

    • A. 0
    • B. sin x
    • C. sinĀ²x
    • D. cosĀ²x

  10. Question 10

    Simplify: 1 āˆ’ sinĀ²x

    • A. cosĀ²x
    • B. sinĀ²x
    • C. sin x
    • D. cos x

  11. Question 11

    Simplify: sinĀ²x + cosĀ²x + tanĀ²x

    • A. 1
    • B. cos x
    • C. 1 + tanĀ²x
    • D. cosĀ²x

  12. Question 12

    Simplify: sinĀ²x/(1 āˆ’ sinĀ²x)

    • A. cosĀ²x
    • B. cos x
    • C. tanĀ²x
    • D. sin x

  13. Question 13

    Simplify: 1 āˆ’ cosĀ²x

    • A. cos x
    • B. 0
    • C. sinĀ²x
    • D. sin x

  14. Question 14

    Simplify: sin x / tan x

    • A. sinĀ²x
    • B. cos x
    • C. cosĀ²x
    • D. 1

  15. Question 15

    Simplify: sinĀ²x/(1 āˆ’ sinĀ²x)

    • A. 0
    • B. 1
    • C. tanĀ²x
    • D. tan x

  16. Question 16

    Simplify: sinĀ²x/(1 āˆ’ sinĀ²x)

    • A. tanĀ²x
    • B. 1
    • C. sin x
    • D. tan x

All done? Color in the animal! Ā· Free from eurekami.com/math

for the adult only

Answer key: Simplify trigonometric expressions with identities

  1. 1. B. cos x

  2. 2. C. cosĀ²x

  3. 3. B. cos x

  4. 4. A. 1 + tanĀ²x

  5. 5. A. 1 + tanĀ²x

  6. 6. A. sinĀ²x

  7. 7. B. 1

  8. 8. B. 1

  9. 9. B. sin x

  10. 10. A. cosĀ²x

  11. 11. C. 1 + tanĀ²x

  12. 12. C. tanĀ²x

  13. 13. C. sinĀ²x

  14. 14. B. cos x

  15. 15. C. tanĀ²x

  16. 16. A. tanĀ²x