In a right triangle, the non-right angles are complementary, meaning their measures add up to 90°, with one angle measure denoted as x.
1. If in a right triangle, the measure of an angle x satisfies sin x = 1/3, which of the following expressions involving cosine is equal to 1/3?
2. What fundamental property characterizes the sine of angle x in a right triangle?
3. Which of the following best describes the meaning of the expression cos(90° - x) in relation to sin x?
Right triangle — angle measure?
Non-right angles sum to 90°.
Sine of x — ratio?
Opposite over hypotenuse.
Expressions equal to 1/3?
cos(90° - x) equals 1/3.
Cosine of x — ratio?
Adjacent over hypotenuse.
Shifted angles — cosine?
Cos(90° - x) = sin x.
Complementary angles — sum?
Sum to 90° in right triangles.
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