Which quadrants is cosine negative

In all of the figures below, the lengths are normalized to the hypothenuse, i. Meanwhile the opposite side is also in the direction of the positive y. Hence all three sides — adjacent, opposite and hypothenuse are all positive, Thus all A three ratios are positive. Hence, Cosine and Tangent are negative and only Sine S is positive. Hence, Sine and Cosine are negative and since Tangent T is a division between two negative numbers, it is the only trigonometric function that is positive.

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Content The four quadrants The coordinate axes divide the plane into four quadrants, labelled first , second , third and fourth as shown. Detailed description of diagram Related angles In the module Further trigonometry Year 10 , we saw that we could relate the sine and cosine of an angle in the second, third or fourth quadrant to that of a related angle in the first quadrant.