In the second quadrant, both sinx and cosx are negative. This means that the values of sinx and cosx are decreasing as x increases. Additionally, the value of sinx is always greater in magnitude than the value of cosx in the second quadrant.
To find the values of sinx and cosx in the second quadrant, we can use the mnemonic "All Students Take Calculus". This stands for All, Sin, Tan, Cos, which are the four trigonometric functions. In the second quadrant, only sinx and cosx are negative, so we can use the Pythagorean identity to find their values.
The range of values for sinx and cosx in the second quadrant is from -1 to 0. This means that the values of sinx and cosx can never be greater than 0, and they can be any negative value between -1 and 0.
Yes, we can use the unit circle to determine the values of sinx and cosx in the second quadrant. The unit circle is a useful tool for understanding the relationship between the trigonometric functions and the angles in a circle. By looking at the coordinates of the points on the unit circle in the second quadrant, we can determine the values of sinx and cosx for any given angle.
In the first quadrant, both sinx and cosx are positive and the graph of sinx is increasing while the graph of cosx is decreasing. In the second quadrant, both sinx and cosx are negative and the graph of sinx is decreasing while the graph of cosx is increasing. This means that the graphs will be mirror images of each other across the y-axis.