If cos A = $$\frac{40}{50}$$ , what is the value of A?

A = cos^{-1}( $$\frac{40}{50}$$ ) or A = 36.87°.

If sin B = $$\frac{16}{34}$$ , what is the value of B?

B = sin^{-1}( $$\frac{16}{34}$$ ) or B = 28.98°.

What is the opposite side to angle J if the hypotenuse is 41 and the adjacent side is 40?

Using Pythagorean theorem, opposite side = $$\text{sqrt}(41^2 - 40^2) = 9$$ .

What is the sine ratio for angle A in a right triangle?

$$sin(A) = \frac{opposite}{hypotenuse}$$ .

What is the cosine ratio for angle A in a right triangle?

$$cos(A) = \frac{adjacent}{hypotenuse}$$ .

What is the tangent ratio for angle A in a right triangle?

$$tan(A) = \frac{opposite}{adjacent}$$ .

Trig Ratios Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of cosine in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

What is the sine ratio in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

What is the tangent ratio in a right triangle?

Back

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

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.SRT.C.8

5.

FLASHCARD QUESTION

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are complementary functions: sin(A) = cos(90° - A).

Tags

CCSS.HSG.SRT.C.7

6.

FLASHCARD QUESTION

Front

What is the Pythagorean identity involving sine and cosine?

Back

Tags

CCSS.HSF.TF.C.8

7.

FLASHCARD QUESTION

Front

What is the sine of angle A if the opposite side is 12 and the hypotenuse is 37?

Back

Tags

CCSS.HSG.SRT.C.6

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