Here is the left half of the equilateral triangle turned on its side. You can determine the height using the Pythagorean Theorem. They both have a hypotenuse of length 2 and a base of length 1. If you split the equilateral triangle down the middle, you produce two triangles with 30В°, 60В° and 90В° angles. Start with an equilateral triangle with side lengths equal to 2 units. You can construct another triangle that you can use to find all of the trigonometric functions for 30В° and 60В°. Notice that because the opposite and adjacent sides are equal, cosecant and secant are equal. Notice that because the opposite and adjacent sides are equal, sine and cosine are equal. Use the definitions of sine, cosine and tangent. However, you really only need to know the value of one trigonometric ratio to find the value of any other trigonometric ratio for the same angle.ДЇind the values of the six trigonometric functions for 45В° and rationalize denominators, if necessary. Some problems may provide you with the values of two trigonometric ratios for one angle and ask you to find the value of other ratios.

You probably used the correct definition,, and used the Pythagorean Theorem to find the opposite side length, r, but set up the equation incorrectly. You need to know the opposite side length, so use the Pythagorean Theorem. Divide the hypotenuse by the opposite length. Use the Pythagorean Theorem to find the opposite side length.

Remember that the two acute angles will give you different trigonometric function values. It looks like you used the wrong angle and found. Then divide the hypotenuse by the opposite length.

How to find special right triangles