Questions: Sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,-1) is on the terminal side of θ. Then find the values of the six trigonometric functions for the angle. Rationalize denominators if applicable. Do not use a calculator. Choose the correct graph below. A. B. C. Select the correct choice below and fill in any answer boxes in your choice. A. sin θ= □ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,-1) is on the terminal side of θ. Then find the values of the six trigonometric functions for the angle. Rationalize denominators if applicable. Do not use a calculator. Choose the correct graph below. A. B. C. Select the correct choice below and fill in any answer boxes in your choice. A. sin θ= □ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Transcript text: Sketch an angle $\theta$ in standard position such that $\theta$ has the least possible positive measure, and the point $(0,-1)$ is on the terminal side of $\theta$. Then find the values of the six trigonometric functions for the angle. Rationalize denominators if applicable. Do not use a calculator. Choose the correct graph below. A. B. c. Select the correct choice below and fill in any answer boxes in your choice. A. $\sin \theta=$ $\square$ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
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Solution

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Solution Steps

Step 1: Identify the correct graph
  • The problem states that the point (-3, -1) is on the terminal side of the angle θ.
  • We need to find the graph where the terminal side of the angle passes through the point (-3, -1).
Step 2: Analyze the graphs
  • Graph A shows the terminal side passing through a point in the second quadrant.
  • Graph B shows the terminal side passing through a point in the third quadrant.
  • Graph C shows the terminal side passing through a point in the fourth quadrant.
Step 3: Select the correct graph
  • The point (-3, -1) is in the third quadrant.
  • Therefore, the correct graph is B.

Final Answer

The correct graph is B.

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