![]() ![]() The relationship between the angles and sides of a triangle may be expressed using the Law of Sines or the Law of Cosines (see Figure 2).įigure 2 Relations between sides and angles of a triangle. Some of the more common trigonometric identities that are used in the study of calculus are as follows: ) You should also be familiar with the graphs of the six trigonometric functions. It is essential that you be familiar with the values of these functions at multiples of 30°, 45°, 60°, 90°, and 180° (or in radians, π/6, π/4, π/3, π/2, and π (See Table. The second part says Find the function values. I should mention that for those first 4 problems, I think the point is actually not to use a calculator. Sec 3 radian mode because there is no degree symbol. The trigonometric functions sine, cosine, tangent, cotangent, secant, and cosecant are defined as follows: Cos 5/2 radian mode because there is no degree symbol. The six basic trigonometric functions may be defined using a circle with equation x 2 + y 2 = r 2 and the angle θ in standard position with its vertex at the center of the circle and its initial side along the positive portion of the x‐axis (see Figure ).įigure 1 Defining the trigonometric functions. Similarly, the equation 1 radian = 180°/π is used to change radians to degrees by multiplying the given radian measure by 180/π to obtain the degree measure. To change degrees to radians, the equivalent relationship 1° = π/180 radians is used, and the given number of degrees is multiplied by π/180 to convert to radian measure. The relationship between these measures may be expressed as follows: 180° = π radians. In trigonometry, angle measure is expressed in one of two units: degrees or radians.
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