How do you find the measure of an angle using the cosine ratio?

To find the measure of an angle using the cosine ratio, use the inverse cosine function: $$\theta = \text{cos}^{-1}igg(\frac{\text{adjacent}}{\text{hypotenuse}}igg)$$ .

How do you find the measure of an angle using the tangent ratio?

To find the measure of an angle using the tangent ratio, use the inverse tangent function: $$\theta = \text{tan}^{-1}igg(\frac{\text{opposite}}{\text{adjacent}}igg)$$ .

What is the hypotenuse in a triangle with sides 9 and 40?

Using the Pythagorean theorem, the hypotenuse is $$\text{hypotenuse} = \text{sqrt}(9^2 + 40^2) = 41$$ .

If the opposite side is 20 and the adjacent side is 15, what is the tangent ratio?

The tangent ratio is $$\text{tan} = \frac{20}{15} = \frac{4}{3}$$ .

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

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.

How do you solve for a missing angle in a right triangle?

To solve for a missing angle, use the fact that the sum of the angles in a triangle is 180 degrees. If one angle is 90 degrees, subtract the sum of the other two angles from 90.

What is the sine of a 30-degree angle?

The sine of a 30-degree angle is $$\text{sine}(30^\text{o}) = \frac{1}{2}$$ .

What is the cosine of a 60-degree angle?

The cosine of a 60-degree angle is $$\text{cosine}(60^\text{o}) = \frac{1}{2}$$ .

Trig Ratios, Sides, and Angles Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of a right triangle?

Back

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

2.

FLASHCARD QUESTION

Front

What are the three sides of a right triangle called?

Back

The three sides are called the hypotenuse (the longest side opposite the right angle), the opposite side (the side opposite the angle of interest), and the adjacent side (the side next to the angle of interest).

3.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

4.

FLASHCARD QUESTION

Front

What is the sine ratio?

Back

5.

FLASHCARD QUESTION

Front

What is the cosine ratio?

Back

6.

FLASHCARD QUESTION

Front

What is the tangent ratio?

Back

7.

FLASHCARD QUESTION

Front

How do you find the measure of an angle using the sine ratio?

Back

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