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.
sin x = 1/3 — implication?
Specific side ratio in triangle.
Cos(45° - x) — relation?
Requires identity for value.
Cos(60° - x) — value?
Depends on x, not necessarily 1/3.
Cos(90° - x) — equals?
sin x, which is 1/3.
Answer 5 questions on Understanding Right Triangle and Trigonometric Relationships.
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?
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