Category: 2. Signs Of Trig Ratios

In these lessons, we will look at Trigonometric Functions for any angle in the Cartesian Plane by using the reference angle. Steps to solving trigonometric functions for any angle Step 1: Find the Reference Angle, which is always acuteStep 2: Find Trig Function Value for the reference angleStep 3: Determine the Sign (positive or negative) of the trig function…

An angle is said to be in standard position if its vertex is at the origin and its initial side is along the positive x-axis. An angle is said to be in the first quadrant, if in the standard position, its terminal side falls in the first quadrant. Similarly, we can define for the other…

How to remember the signs of the trigonometric functions for the four quadrants?We can use a mnemonic like CAST or** A**ll** S**tudents **T**ake** C**alculus to remember the signs in the 4 quadrants. The following figure shows the signs of the trigonometric functions for the four quadrants. Scroll down the page for more examples and solutions.  The trigonometric…

In the previous section, we learned that we could find the reference angles using the set of rules mentioned in the table. That table works only when the given angle lies between 0° and 360°. But what if the given angle does not lie in this range? Let’s see how we can find the reference…

In math, a reference angle is generally an acute angle enclosed between the terminal arm and the x-axis. It is always positive and less than or equal to 90 degrees. Let us learn more about the reference angle in this article. Reference Angle Definition The reference angle is the smallest possible angle made by the terminal side of the…