Chapter 2 Section 7

Notes

Linguistic Mapping Exercises

Knowledge Checks

  1. Calculate \(\angle pOq\) where \(p = \left(\tfrac{\sqrt{2}}{2}, \tfrac{\sqrt{2}}{2}\right) \text{ and } q =\left (-\tfrac{\sqrt{2}}{2}, \tfrac{\sqrt{2}}{2}\right).\)
  2. Determine the fraction of the circle of the angle whose radian measure is \(\frac{\pi}{4}\).
  3. Calculate sine, cosine, and tangent at the following angles \(\theta=120^{\circ}\), \(\theta=\frac{7\pi}{6}.\)
  4. There are angles \(A\) in quadrant I and \(B\) in quadrant III so that \(\cos\left(A\right)=\frac{2}{5}\) and \(\sin(B)=-\frac{1}{8}.\) Determine \(\sin(A-B)\) and \(\tan(A-B).\)
  5. Use the half angle formula to determine \(\cos(45^{\circ})\) and \(\cos(22.5^{\circ}).\)
  6. Determine \(R_\theta(1,2).\)

Remember, do the knowledge checks before checking the solutions.

Practice Problems

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