the point $p(x, y)$ lies on the terminal side of an angle $\theta = \frac{3\pi}{4}$ in standard position. what are the signs of the values of $x$ and $y$?

both $x$ and $y$ are positive.
both $x$ and $y$ are negative.
$x$ is positive, and $y$ is negative.
$x$ is negative, and $y$ is positive.

Question

the point $p(x, y)$ lies on the terminal side of an angle $\theta = \frac{3\pi}{4}$ in standard position. what are the signs of the values of $x$ and $y$?

both $x$ and $y$ are positive.
both $x$ and $y$ are negative.
$x$ is positive, and $y$ is negative.
$x$ is negative, and $y$ is positive.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Unit Circle Quadrants" ], "new_concepts": [], "current_concepts": [ "Unit Circle Quadrants", "Trigonometric Signs" ] } ## Determine the quadrant of the angle $$ \frac{\pi}{2} < \frac{3\pi}{4} < \pi $$ ## Identify the signs of coordinates in Quadrant II $$ \begin{aligned} x &< 0 \ y &> 0 \end{aligned} $$

Both x and y are positive.

Both x and y are negative.

x is positive, and y is negative.

x is negative, and y is positive.

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QUESTION IMAGE

Question

Explanation:

Determine the quadrant of the angle

Identify the signs of coordinates in Quadrant II

Answer: