Suppose theta is an angle in a triangle, where sin theta = 0.818. a. To find theta, we can take theta = sin^-1 (0.818) = 54.9°. What is another possibility for theta? b. Explain why there are two possible values. c. You are told that a second angle in the same triangle measures 60°. Are both of the angles you found in part a still valid? Please explain your answer.
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Suppose theta is an angle in a triangle, where sin theta = 0.818. a. To find theta, we can take theta = sin^-1 (0.818) = 54.9°. What is another possibility for theta?
b. Explain why there are two possible values.
c. You are told that a second angle in the same triangle measures 60°. Are both of the angles you found in part a still valid? Please explain your answer.
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