name the quadrant in which the angle \\( \\theta \\) lies.\n\\( \\sin \\theta>0, \\cos \\theta<0…
name the quadrant in which the angle \\( \\theta \\) lies.\n\\( \\sin \\theta>0, \\cos \\theta<0 \\)\n\nchoose the correct answer below.\n\n\\( \\bigcirc \\) quadrant i\n\\( \\bigcirc \\) quadrant iii\n\\( \\bigcirc \\) quadrant ii\n\\( \\bigcirc \\) quadrant iv
Answer
Brief Explanations:
- In Quadrant I: (\sin\theta> 0) and (\cos\theta>0).
- In Quadrant II: (\sin\theta> 0) and (\cos\theta<0).
- In Quadrant III: (\sin\theta< 0) and (\cos\theta<0).
- In Quadrant IV: (\sin\theta< 0) and (\cos\theta>0).
Since (\sin\theta>0) (positive) and (\cos\theta < 0) (negative), we refer to the sign - rules of trigonometric functions in each quadrant.
Answer:
Quadrant II