How to find the side AC in a right-angled triangle ABC knowing the angle C and angle A

How to find the side AC in a right-angled triangle ABC knowing the angle C and angle A and the side BC through the sine cosine or tangent?

In this task, let’s remember how to find the angle and side in a right-angled triangle using trigonometric functions;

To do this, recall the ratios in a right-angled triangle (with a right angle);

To find, we denote the angles in the triangle at = 90 °, and with acute adjacent to the hypotenuse;

The AC side can be found from the following values;

The AC side is equal to:

AC = BC / sinA;

AC = AB / sinC;

AC = AB / cosA;

AC = BC / cosC;

Where AC, AB, BC are the sides of the triangle;

sinA, sinС, cosА, cosС – sine or cosine value of the corresponding angle.