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Trigonometric Equations: Solving for Unknown Angles and Variables - Prof. James A. Condor, Assignments of Trigonometry

State College of Florida, Manatee-Sarasota (SCF)Trigonometry
Prof. James A. Condor

Solutions to various trigonometric equations involving identities, inverse functions, and quadratic equations. Students will learn how to solve equations for angles and variables using methods such as the quadratic formula, substitution, and inverse functions. Equations covered include those with cosine, sine, tangent, and double angle identities.

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

koofers-user-6aq
koofers-user-6aq 🇺🇸

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MAC 1114 Trigonometry
Section 6.1: Solving Trigonometric Equations
1) Solve 3x2 – 4x = 5.
2) Solve 2cos θ +
3
= 0
3) Solve
3
+ 5sin t = 3sin t
4) Solve 4cos θ – 1 = 3cos θ + 4
5) Solve 2cos2x + cos x – 1 = 0
6) Solve tan θ – 2cos θ tan θ = 0
7) Solve sin2x - sin x – 1 = 0
8) The height of a projectile at time t is given by h = -16t2 + vt sin θ. Give the equation for the
height if v is 1500 feet per second and θ is 30°.
1

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MAC 1114 Trigonometry Section 6.1: Solving Trigonometric Equations

  1. Solve 3x^2 – 4x = 5.
  2. Solve 2cos θ + 3 = 0
  3. Solve 3 + 5sin t = 3sin t
  4. Solve 4cos θ – 1 = 3cos θ + 4
  5. Solve 2cos^2 x + cos x – 1 = 0
  6. Solve tan θ – 2cos θ tan θ = 0
  7. Solve sin^2 x - sin x – 1 = 0
  8. The height of a projectile at time t is given by h = -16t^2 + vt sin θ. Give the equation for the height if v is 1500 feet per second and θ is 30°. 1