![]() If θ is one of the acute angles in a triangle, then the sine of theta is the ratio of the opposite side to the hypotenuse, the cosine is the ratio of the adjacent side to the hypotenuse, and the tangent is the ratio of the opposite side to the adjacent side The most important formulas for trigonometry are those for a right triangle. To convert from degrees to radians, multiply the number of degrees by π/180. The length of the arc is just the radius r times the angle θ where the angle is measured in radians. ![]() You can easily find both the length of an arc and the area of a sector for an angle θ in a circle of radius r. Trigonometry Formulas Formulas for arcs and sectors of circles ![]() The identities don’t refer to particular geometric figures but hold for all angles. These formulas relate lengths and areas of particular circles or triangles. Trigonometric Ratiorelationship between the measurement of the angles and the length of the side of the right triangle. ![]()
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