What is the value of $$\tan 45^\text{o}$$ ?

The value of $$\tan 45^\text{o} = 1$$ .

What is the value of $$\text{sine} 30^\text{o}$$ ?

The value of $$\text{sine} 30^\text{o} = \frac{1}{2}$$ .

What is the value of $$\text{cosine} 60^\text{o}$$ ?

The value of $$\text{cosine} 60^\text{o} = \frac{1}{2}$$ .

What is the Pythagorean theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: $$a^2 + b^2 = c^2$$ .

How do you find the opposite side if you know the hypotenuse and the angle?

You can find the opposite side using the sine ratio: $$\text{opposite} = \text{hypotenuse} \times \text{sine} A$$ .

How do you find the adjacent side if you know the hypotenuse and the angle?

You can find the adjacent side using the cosine ratio: $$\text{adjacent} = \text{hypotenuse} \times \text{cosine} A$$ .

What is the tangent of an angle in terms of sine and cosine?

The tangent of an angle is the ratio of the sine of the angle to the cosine of the angle: $$\tan A = \frac{\text{sine} A}{\text{cosine} A}$$ .

What is the value of $$\tan 30^\text{o}$$ ?

The value of $$\tan 30^\text{o} = \frac{1}{\text{\text{sqr}(3)}}$$ .

What is the value of $$\tan 60^\text{o}$$ ?

The value of $$\tan 60^\text{o} = \text{\text{sqr}(3)}$$ .

Basic Trig Ratios

Flashcard

•

Mathematics

•

11th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.SRT.C.6, HSG.SRT.C.7, HSG.SRT.C.8

Standards-aligned

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FLASHCARD QUESTION

Front

What is the definition of the tangent ratio?

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

What is the formula for the sine ratio?

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

What is the formula for the cosine ratio?

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

Back

This implies that for angle A, the length of the opposite side is 21 units and the length of the adjacent side is 20 units.

Tags

CCSS.HSG.SRT.C.8

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

In a right triangle, if the hypotenuse is 41 and one side is 40, what is the length of the other side?

Back

Tags

CCSS.8.G.B.7

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.SRT.C.7

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