Flashcards: Understanding Right Triangle and Trigonometric Relationships — 10 cards

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1Question

Right triangle — angle measure?

Answer

Non-right angles sum to 90°.

2Question

Sine of x — ratio?

Answer

Opposite over hypotenuse.

3Question

Expressions equal to 1/3?

Answer

cos(90° - x) equals 1/3.

4Question

Cosine of x — ratio?

Answer

Adjacent over hypotenuse.

5Question

Shifted angles — cosine?

Answer

Cos(90° - x) = sin x.

6Question

Complementary angles — sum?

Answer

Sum to 90° in right triangles.

7Question

sin x = 1/3 — implication?

Answer

Specific side ratio in triangle.

8Question

Cos(45° - x) — relation?

Answer

Requires identity for value.

9Question

Cos(60° - x) — value?

Answer

Depends on x, not necessarily 1/3.

10Question

Cos(90° - x) — equals?

Answer

sin x, which is 1/3.

Test yourself with the quiz

Test your knowledge with 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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