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Solving Trigonometric Equations Review: Exercises and Solutions, Exercises of Mathematics

Mathematics

It contains questions and answers from the topic solving Trigonometric Equations

Typology: Exercises

2022/2023

Available from 11/06/2023

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Solving Trig Equations Review (Part 1)
Find all solutions on the interval [0,2ฯ€)
1. 4๐‘ ๐‘–๐‘›2๐‘ฅ+4=5
2. (SKIP #2)
๐‘ ๐‘–๐‘›๐‘ฅ+๐‘๐‘œ๐‘ก๐‘ฅ๐‘๐‘œ๐‘ ๐‘ฅ=2
3. ๐‘ ๐‘–๐‘›2๐‘ฅ๐‘๐‘œ๐‘ ๐‘ฅ=๐‘ ๐‘–๐‘›๐‘ฅ
Find all solutions.
4. 2 3๐‘๐‘œ๐‘ ๐‘ฅ ๐‘ ๐‘–๐‘›5๐‘ฅโˆ’๐‘๐‘œ๐‘ ๐‘ฅ=2๐‘๐‘œ๐‘ ๐‘ฅ
5. ๐‘ก๐‘Ž๐‘›4๐‘ฅโˆ’2=๐‘ก๐‘Ž๐‘›2๐‘ฅ+๐‘ ๐‘’๐‘2๐‘ฅ
6. 3๐‘ ๐‘’๐‘๐‘ฅ+๐‘ ๐‘’๐‘๐‘ฅ ๐‘๐‘œ๐‘ก๐‘ฅ=0
Solving Trig Equations Review (Part 2)
Find all solutions on the interval [0,2ฯ€)
1. 3๐‘๐‘ ๐‘2๐‘ฅ=1+2๐‘๐‘ ๐‘2๐‘ฅ
2. ๐‘ ๐‘–๐‘›2๐‘ฅ+2โˆ’๐‘๐‘œ๐‘ 2๐‘ฅ=3๐‘ ๐‘–๐‘›๐‘ฅ
3. 2๐‘๐‘œ๐‘ 2๐‘ฅโˆ’ 3๐‘๐‘œ๐‘ ๐‘ฅ=0
Find all solutions.
4. ๐‘๐‘œ๐‘ 2๐‘ฅโˆ’๐‘๐‘œ๐‘ ๐‘ฅ=0
5. ๐‘ก๐‘Ž๐‘›2๐‘ฅ ๐‘๐‘ ๐‘๐‘ฅโˆ’2๐‘ก๐‘Ž๐‘›2๐‘ฅ=0
6. ๐‘ก๐‘Ž๐‘›๐‘ฅ ๐‘๐‘œ๐‘ ๐‘ฅ+๐‘ ๐‘–๐‘›๐‘ฅ=1
Video Explanations:
Solving Trig Equations Review (Part 1): https://screencast-o-matic.com/watch/cYXnFNsMrf
Solving Trig Equations Review (Part 2): https://screencast-o-matic.com/watch/cYXnq3sMyW
Answer Key on Next Page
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Solving Trig Equations Review (Part 1) Find all solutions on the interval [0, 2ฯ€)

  1. 4๐‘ ๐‘–๐‘› 2 ๐‘ฅ + 4 = 5
  2. ๐‘ ๐‘–๐‘›๐‘ฅ + ๐‘๐‘œ๐‘ก๐‘ฅ๐‘๐‘œ๐‘ ๐‘ฅ = 2 (SKIP #2)
  3. ๐‘ ๐‘–๐‘›2๐‘ฅ๐‘๐‘œ๐‘ ๐‘ฅ = ๐‘ ๐‘–๐‘›๐‘ฅ Find all solutions.
  4. 2 3๐‘๐‘œ๐‘ ๐‘ฅ ๐‘ ๐‘–๐‘›5๐‘ฅ โˆ’ ๐‘๐‘œ๐‘ ๐‘ฅ = 2๐‘๐‘œ๐‘ ๐‘ฅ
  5. ๐‘ก๐‘Ž๐‘› 4 ๐‘ฅ โˆ’ 2 = ๐‘ก๐‘Ž๐‘› 2 ๐‘ฅ + ๐‘ ๐‘’๐‘ 2 ๐‘ฅ
  6. 3๐‘ ๐‘’๐‘๐‘ฅ + ๐‘ ๐‘’๐‘๐‘ฅ ๐‘๐‘œ๐‘ก๐‘ฅ = 0 Solving Trig Equations Review (Part 2) Find all solutions on the interval [0, 2ฯ€)
  7. 3๐‘๐‘ ๐‘ 2 ๐‘ฅ = 1 + 2๐‘๐‘ ๐‘ 2 ๐‘ฅ
  8. ๐‘ ๐‘–๐‘› 2 ๐‘ฅ + 2 โˆ’ ๐‘๐‘œ๐‘  2 ๐‘ฅ = 3๐‘ ๐‘–๐‘›๐‘ฅ
  9. 2๐‘๐‘œ๐‘  2 ๐‘ฅ โˆ’ 3 ๐‘๐‘œ๐‘ ๐‘ฅ = 0 Find all solutions.
  10. ๐‘๐‘œ๐‘ 2๐‘ฅ โˆ’ ๐‘๐‘œ๐‘ ๐‘ฅ = 0
  11. ๐‘ก๐‘Ž๐‘›2๐‘ฅ ๐‘๐‘ ๐‘๐‘ฅ โˆ’ 2๐‘ก๐‘Ž๐‘›2๐‘ฅ = 0
  12. ๐‘ก๐‘Ž๐‘›๐‘ฅ ๐‘๐‘œ๐‘ ๐‘ฅ + ๐‘ ๐‘–๐‘›๐‘ฅ = 1 Video Explanations: Solving Trig Equations Review (Part 1): https://screencast-o-matic.com/watch/cYXnFNsMrf Solving Trig Equations Review (Part 2): https://screencast-o-matic.com/watch/cYXnq3sMyW Answer Key on Next Page

Solving Trig Equations Review ANSWER KEY (Part 1)

Unit 9 Review ANSWER KEY (Part 2)