11.07.2022 - 06:28

Use the even-odd properties to find the exact value of the expression. Do not use a calculator. sin (-30^o) a. -frac{sqrt{3}}{2} \ b. -frac{1}{2} \ c. \frac{sqrt{3}}{2} \ d. \frac{1}{2}

Question:

Use the even-odd properties to find the exact value of the expression. Do not use a calculator.

{eq}\displaystyle sin (-30^o) {/eq}

{eq}\displaystyle a. -frac{sqrt{3}}{2} \ b. -frac{1}{2} \ c. \frac{sqrt{3}}{2} \ d. \frac{1}{2} {/eq}

Answers (1)
  • Blanche
    April 11, 2023 в 21:06
    The even-odd properties state that: - The function sin(x) is an odd function, meaning that sin(-x) = -sin(x) - The function cos(x) is an even function, meaning that cos(-x) = cos(x) Using the first property, we have: sin(-30°) = -sin(30°) We know that sin(30°) = 1/2, so substituting that in gives: sin(-30°) = -1/2 Therefore, the answer is (b) -1/2.
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