The law of sines is an equation that allows us to relate the sines of an angle to their respective opposite sides. The law of sines is applied to find the measures of an angle or the length of a side in a triangle. To use the law of sines, we need to know the measures...

The law of cosines is the ratio of the lengths of the sides of a triangle with respect to the cosine of its angle. The law of cosines tells us that the square of one side is equal to the sum of the squares of the other sides minus twice the product of these sides and...

The law of sines indicates that the ratio of the sides of a triangle and the ratio of the sines of the respective angles are equivalent to each other. The law of sines is used to find an unknown angle or side of a triangle that is not a right triangle. The law of...

The cotangent of an angle is the reciprocal of the tangent. Recall that the tangent is defined as the opposite side of a right triangle over the adjacent side. Also, a reciprocal function is equal to 1 over the original function. This means that the cotangent is equal...

The cosecant of an angle is defined with respect to the sides of a right triangle. In a right triangle, the cosecant is equal to the length of the hypotenuse divided by the side opposite the angle. The cosecant is the reciprocal function of the sine. Here, we will...

The secant of an angle can be calculated by relating the sides of a right triangle. The secant is defined as the reciprocal function of the cosine, so it is equal to the length of the hypotenuse over the length of the adjacent side. The secant of the most important...