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Home > INT3 > Chapter 10 > Lesson 10.3.3 > Problem 10-188

10-188.
  1. Solve each equation for 0º ≤ θ < 360º. You may need your calculator, but remember that your calculator only gives one answer. Most of these problems have more than one answer. Think about all four quadrants of a graph. Homework Help ✎

    1. sin(θ) = 0.5

    2. cos(θ) = –0.5

    3. 4tan(θ) – 4 = 0

    4. 3sin2(θ) = 1

Where is the sinθ = 0.5? Remember sin is the y-value. What would θ be at those places?

θ = 30° or 150°

Where is the cosθ = −0.5? Remember cos is the x-value. What would θ be at those places?

Solve for the tanθ. Draw a unit circle. Where is the tanθ of that value?

Use your calculator to get one of the values. Then use symmetry to get the other 3 values. There are 4 values because when you take the square root of both sides the answer would be plus or minus!