What is the cosine of an angle in a right triangle?

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

If one side of a right triangle is 12m and the other is 5m, what is the length of the hypotenuse?

Using the Pythagorean Theorem: $$c = \text{hypotenuse}, a = 12m, b = 5m$$ . Calculate: $$c = \text{sqrt}(12^2 + 5^2) = \text{sqrt}(144 + 25) = \text{sqrt}(169) = 13m$$ .

What is the relationship between the angles in a right triangle?

In a right triangle, the sum of the three angles is always 180 degrees, and one of the angles is always 90 degrees.

How do you find the length of a side if you know one angle and one side?

You can use trigonometric ratios: - For the opposite side: $$\text{opposite} = \text{hypotenuse} \times \text{sin}(\theta)$$ - For the adjacent side: $$\text{adjacent} = \text{hypotenuse} \times \text{cos}(\theta)$$ .

What is the definition of a right triangle?

A right triangle is a triangle that has one angle measuring 90 degrees.

What is the formula for calculating the area of a right triangle?

The area of a right triangle can be calculated using the formula: $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the significance of the 30-60-90 triangle?

In a 30-60-90 triangle, the sides are in a specific ratio: the lengths of the sides opposite the 30°, 60°, and 90° angles are in the ratio 1:√3:2.

What is the significance of the 45-45-90 triangle?

In a 45-45-90 triangle, the sides are in the ratio 1:1:√2, meaning the two legs are equal in length.

Trig Pre-test Flashcards

Student preview

16 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

2.

FLASHCARD QUESTION

Front

What is the Pythagorean Theorem?

Back

3.

FLASHCARD QUESTION

Front

What is the formula to find the length of a side in a right triangle using the Pythagorean Theorem?

Back

4.

FLASHCARD QUESTION

Front

What is the definition of an adjacent side in a right triangle?

Back

The adjacent side is the side next to the angle of interest in a right triangle.

5.

FLASHCARD QUESTION

Front

What is the definition of an opposite side in a right triangle?

Back

The opposite side is the side opposite the angle of interest in a right triangle.

6.

FLASHCARD QUESTION

Front

How do you calculate the angle in a right triangle using trigonometric ratios?

Back

7.

FLASHCARD QUESTION

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

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