What is the sine of a 30-degree angle?

$$\text{sine}(30^\text{o}) = \frac{1}{2}$$ .

What is the cosine of a 60-degree angle?

$$\text{cosine}(60^\text{o}) = \frac{1}{2}$$ .

In a right triangle, if one angle is 30 degrees, what are the ratios of the sides?

The ratios are 1:√3:2 for opposite:adjacent:hypotenuse.

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: $$a^2 + b^2 = c^2$$ .

If the lengths of the two legs of a right triangle are 6 and 8, what is the length of the hypotenuse?

Using the Pythagorean theorem, the hypotenuse is 10.

What is the sine of an angle in terms of the unit circle?

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle.

What is the cosine of an angle in terms of the unit circle?

The cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

Basic Trig Ratios Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

2.

FLASHCARD QUESTION

Front

What is the formula for calculating the sine of an angle?

Back

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

What is the formula for calculating the cosine of an angle?

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the formula for calculating the tangent of an angle?

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

If the hypotenuse is 13 and the opposite side is 5, what is the length of the adjacent side?

Back

Using the Pythagorean theorem, the adjacent side is 12.

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

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

Back

Tags

CCSS.HSG.SRT.C.6

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