If cos &gt; 0 and sin &lt; 0 what quadrant is it in?

Question

If cos &amp;gt; 0 and sin &amp;lt; 0 what quadrant is it in?

Skyler Robertson · Accepted Answer

For this kind of issue, think of the C-A-S-T rule, which stands for All Slow Turtles Crawl. The trigonometric function's positive quadrant is shown by both of these principles. Only one of the three trigonometric functions—the other two are negative—is positive in all quadrants save the first.
Quadrant 1: All are positive
Quadrant 2: Sine is positive
Quadrant 3: Tangent is positive
Quadrant 4: Cosine is positive
The above-mentioned acronym and phrase are designed to make it easier for you to remember these. But be aware that although "All Slow Turtles Crawl" moves from first to fourth, C-A-S-T begins in the fourth quadrant and moves to the first, second, and eventually third.Let's get back to the issue at hand.
If cosine is positive, we are already constrained to the IV and I quadrants. However, all the functions in quadrant I are positive, despite the fact that the issue states that sin is in this instance negative. Quadrant IV is the only alternative that is left.

Mario Barr · Accepted Answer

sin              (        x        )              &amp;lt;    0  , is             Quadrant IV      .In Quadrant 4 is                     7        π            4                  cos              (                              7            π                    4                )              =                  2            2        &amp;gt;    0              sin              (                              7            π                    4                )              =    -                  2            2        &amp;lt;    0

If cos > 0 and sin < 0 what quadrant is it in?

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