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Trigonometry Review: Cos, Sin, Tan, Domain, Range, Amplitude, Frequency

This review covers various trigonometry topics including finding sin, tan, and cos values, determining domain and range, understanding amplitude and frequency, and solving equations involving trigonometric functions.

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Trigonometry Review: Cos, Sin, Tan, Domain, Range, Amplitude, Frequency

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  1. MATH 1330 Review for Exam 3

  2. 1. If cos(x) = -3/7 and tan(x) > 0, determine the following: sin(x) tan(x) cos(-x) sin(-x) tan(x+π) sin( - x) cot( - x) sec( - x) sec(-x) sin(x+π)

  3. 2. Domain Range Amplitude Frequency Period Phase Shift Vertical Shift Graph

  4. 3. Asymptotes Domain Range Amplitude Frequency Period Phase Shift Vertical Shift Graph

  5. 4. Helper Function Asymptotes Domain Range Amplitude Frequency Period Phase Shift Vertical Shift Graph

  6. 5. Find the value of cos(15o) using difference formula and using half angle formula.

  7. 6. Find the value of sin(π/8)

  8. 7. If tan(x) = 3, find the value of tan(

  9. 8. If sin(x) = 2/3 and cos(x) < 0, find the following: sin(2x) tan(2x) sin(x/2) sin(x + π/3) cos(x – π/3)

  10. 9. Solve for all answers: -12cos(x) + 5 = 11

  11. 10. Solve for all answers: 2sin2(x) + sin(x) – 1 = 0

  12. 11. Solve for [0, 2π): 3csc2(2x) – 5 = -1

  13. 12. Solve for all answers: sin(2x) = cos(x)

  14. 13. Solve for all answers: tan2x + secx – 1 = 0

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