MATH 1022 Chapter : Revised Section 6 4a Trigsted
Document Summary
Opposite hypotenuse hypotenuse cosecant = csc = hypotenuse. Understanding the right triangle definition of the trigonometric functions. Definition: a right triangle has one right(90 ) angle. The other two angles are then acute(less than 90 ) angles. The side opposite the right angle is the hypotenuse. By the pythagorean theorem c2 = a2 + b2. Let be an acute angle of a right triangle. Sine = sin = opposite cosine = cos = adjacent tangent = tan = opposite adjacent. Draw the diagonal in a square of side 1. The resulting triangle has angles of 45 , 45 , and 90 . Draw an equilateral triangle with sides of 2 and draw the perpendicular bisector of the base. By the pythagorean theorem the other sides of the resulting triangle are 1 and 3 and the angles are 30 , 60 , and 90 . Example 3: determine the measure of the acute angle in radians for which cos =
