If the adjacent side is 40 and the angle is 60°, what is the length of the hypotenuse?

Using cosine: $$\text{hypotenuse} = \frac{40}{\text{cosine}(60°)} = 80$$ .

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

Tangent can be expressed as: $$\text{tangent} = \frac{\text{sine}}{\text{cosine}}$$ .

What is the value of tan(45°)?

The value is 1, since $$\text{tan}(45°) = \frac{\text{opposite}}{\text{adjacent}} = 1$$ .

What is the value of sin(90°)?

The value is 1, since $$\text{sin}(90°) = \frac{\text{opposite}}{\text{hypotenuse}} = 1$$ .

What is the value of cos(0°)?

The value is 1, since $$\text{cos}(0°) = \frac{\text{adjacent}}{\text{hypotenuse}} = 1$$ .

If you know the lengths of the opposite and adjacent sides, how can you find the angle θ?

You can use the tangent function: $$\theta = \text{tan}^{-1}igg(\frac{\text{opposite}}{\text{adjacent}}igg)$$ .

What is the Pythagorean theorem?

In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides: $$a^2 + b^2 = c^2$$ .

What is the importance of trigonometric ratios in real-life applications?

Trigonometric ratios are used in various fields such as engineering, physics, architecture, and navigation to solve problems involving angles and distances.

Trig Ratio Basics Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of sine in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

What is the definition of cosine in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

What is the definition of tangent in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the formula for finding the hypotenuse using sine?

Back

Tags

CCSS.HSG.SRT.C.8

5.

FLASHCARD QUESTION

Front

What is the formula for finding the adjacent side using cosine?

Back

Tags

CCSS.HSG.SRT.C.8

6.

FLASHCARD QUESTION

Front

What is the formula for finding the opposite side using tangent?

Back

Tags

CCSS.HSG.SRT.C.8

7.

FLASHCARD QUESTION

Front

If the hypotenuse is 50 and the angle is 30°, what is the length of the opposite side?

Back

Tags

CCSS.HSG.SRT.C.8

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