Which quadrant is cosine in

However, in second quadrant while sine is positive, cosine is negative. And in fourth quadrant, cosine is positive and sine is negative. In which quadrants do sine and cosine have the opposite sign?

Shwetank Mauria. Oct 15, Hence, Sine and Tangent are negative and only Cosine C is positive. Here is a simple interactive app to illustrate the changes in signs of the three basic trigonometry ratios — Sine, Cosine Tangent in the four quadrants. Rotate the angle by mouse or touch to show angles in different quadrant and observe how the values of Sine, Cosine and Tangent changes with the sides of the right triangle.

Your email address will not be published. The method is very similar to that outlined in the previous section for angles in the second quadrant. In this quadrant, the sine and cosine ratios are negative and the tangent ratio is positive. In the third quadrant, the values for tan are positive only. In the fourth quadrant, the values for cos are positive only. In the fourth quadrant, C os is positive, in the first, A ll are positive, in the second, S in is positive and in the third quadrant, T an is positive.

This is easy to remember, since it spells "cast". The sines, cosines and tangents of some angles are equal to the sines, cosines and tangents of other angles. In the following diagrams, the sines, cosines and tangents of each of the shaded angles have the same magnitude the same angle in each diagram :.