How do you find tanC if the opposite side is 36 and the adjacent side is 27?

$$\text{tan}C = \frac{36}{27} = \frac{4}{3}$$ after reducing the fraction.

What is the relationship between sine, cosine, and tangent?

The relationship can be expressed as: $$\text{tan}A = \frac{\text{sin}A}{\text{cos}A}$$ .

What is the formula for finding the angle using sine?

To find the angle A using sine, use the inverse sine function: $$A = \text{sin}^{-1}igg(\frac{\text{opposite}}{\text{hypotenuse}}igg)$$ .

What is the formula for finding the angle using cosine?

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

What is the formula for finding the angle using tangent?

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

How do you set up a problem using cosine?

To set up a problem using cosine, use the formula: $$\text{cos}A = \frac{\text{adjacent}}{\text{hypotenuse}}$$ .

When do you use sine, cosine, or tangent?

Use sine when you have the opposite side and hypotenuse, cosine when you have the adjacent side and hypotenuse, and tangent when you have the opposite and adjacent sides.

What is the value of cos47 if the hypotenuse is 28 and the adjacent side is x?

Set up the equation: $$\text{cos}47 = \frac{28}{x}$$ .

Right Triangle Trig Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is a right triangle?

Back

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

Tags

CCSS.4.G.A.2

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

Tags

CCSS.8.G.B.8

4.

FLASHCARD QUESTION

Front

What is the sine function?

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

What is the cosine function?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

What is the tangent function?

Back

Tags

CCSS.HSG.SRT.C.6

7.

FLASHCARD QUESTION

Front

How do you find sinA if the opposite side is 36 and the hypotenuse is 45?

Back

Tags

CCSS.HSG.SRT.C.6

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