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Secure https www.math loom Student PlayerHomework aspx?homeworkId-443548548&questionId-98; flushed-true&cld-4653331;&center; nayes MATH 2412 LAB CRN 13151 TUESDAY 9:00-9.50 AM Lepe/HARMON Homework: Practice Quiz 1 Save Score: 0 of 1 pt 90r 10 (9 complete) HW Score: 60%, 6 of 10 pts 4.4.87 Find the exact value of the following expression. Write the answer as a single fraction. Do not use a calculator Question Help sin- cos cossin sin-cos -cos-sin- (Simplity your answer. Type an exact answer, using radicals as needed Use integers or fractions for any numbers in the expression Rationalize all denominators ) Enter your answer in the answer box and then click check Answer All parts showing

Explanation / Answer

sin (pi/3) = sqrt(3) / 2

cos (pi) = -1

cos (pi/3) = 1/2

sin (pi/2) = 1

so,

sin (pi/3)*cos(pi) - cos (pi/3)*sin(pi/2)

= sqrt(3) / 2 * (-1) - 1/2 * 1

= - sqrt(3) / 2 - 1/2

= -(sqrt(3) + 1) / 2

Answer: -(sqrt(3) + 1) / 2

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