![]() Sine and Cosine from the Unit Circle and Multiples of Pi Divided by Six.Trigonometric Functions Using the Unit Circle.Sec θ = 1 x cos θ = x Substitute sec θ = 1 cos θ There is no SEC button on most calculators, but secant is the reciprocal of cosine as seen in their formulas. Make sure the calculator is in degree mode. sin 9 π 4 = y = 2 2Įxample 4: Using a Calculator to Evaluate Trigonometric Functions Use those in the trigonometric functions and evaluate. The first step is to find a coterminal angle between 0 and 2 π. ![]() Θ = 9 π 4 is not on the unit circle because it is greater than 2 π. The coordinates for θ = 5 π 3 are 1 2 - 3 2. Θ = - π 3 is not on the unit circle because it is negative. sin 11 π 6 = y = - 1 2Įxample 2: Evaluate Trigonometric Functions Not Between 0 and 2π Use the angle on the unit circle to find the corresponding x and y-coordinates. Example 1: Evaluate Trigonometric FunctionsĮvaluate the six trigonometric functions for the given angles.
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