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

The relationship is given by: $$tan(\theta) = \frac{sin(\theta)}{cos(\theta)}$$ .

What is the value of $$\tan(37^{\text{o}})$$ ?

$$\tan(37^{\text{o}}) \text{ is approximately } 0.7536$$ .

If $$\tan(\theta) = \frac{3}{4}$$ , what is the opposite side if the adjacent side is 8?

The opposite side is 6 (using the ratio: $$\frac{3}{4} = \frac{opposite}{8}$$ ).

What is the sine of a 30-degree angle?

The sine of a 30-degree angle is $$\frac{1}{2}$$ .

What is the cosine of a 60-degree angle?

The cosine of a 60-degree angle is $$\frac{1}{2}$$ .

How do you solve for an angle using the tangent function?

To solve for an angle, use the inverse tangent function: $$\theta = \tan^{-1}igg(\frac{opposite}{adjacent}igg)$$ .

What is the cosine of an angle if the adjacent side is 4 and the hypotenuse is 5?

The cosine of the angle is $$\frac{4}{5}$$ .

If $$\tan(\theta) = 1$$ , what is the measure of angle $$\theta$$ ?

The measure of angle $$\theta$$ is 45 degrees.

What is the sine of an angle if the opposite side is 7 and the hypotenuse is 25?

The sine of the angle is $$\frac{7}{25}$$ .

Right Triangle Trig Flashcard Flashcards

Student preview

16 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

2.

FLASHCARD QUESTION

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

3.

FLASHCARD QUESTION

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

4.

FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

5.

FLASHCARD QUESTION

Front

How do you find the sine of an angle?

Back

To find the sine of an angle, divide the length of the opposite side by the length of the hypotenuse.

6.

FLASHCARD QUESTION

Front

How do you find the cosine of an angle?

Back

To find the cosine of an angle, divide the length of the adjacent side by the length of the hypotenuse.

7.

FLASHCARD QUESTION

Front

How do you find the tangent of an angle?

Back

To find the tangent of an angle, divide the length of the opposite side by the length of the adjacent side.

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