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

The relationship can be expressed as: $$\tan(\theta) = \frac{\text{sin}(\theta)}{\text{cos}(\theta)}$$ .

What is the value of sin(30°)?

The value of sin(30°) is $$\frac{1}{2}$$ .

What is the value of cos(60°)?

The value of cos(60°) is $$\frac{1}{2}$$ .

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

The ratios of the sides are 1:√3:2, corresponding to opposite:adjacent:hypotenuse.

What is the definition of 'adjacent side' in relation to an angle in a right triangle?

The adjacent side is the side that forms the angle with the hypotenuse and is not the opposite side.

What is the definition of 'opposite side' in relation to an angle in a right triangle?

The opposite side is the side that is opposite to the angle in question.

How do you find the angle using trigonometric ratios?

You can find the angle using the inverse trigonometric functions: $$\theta = \tan^{-1}(\frac{opposite}{adjacent})$$ , $$\theta = \text{sin}^{-1}(\frac{opposite}{hypotenuse})$$ , or $$\theta = \text{cos}^{-1}(\frac{adjacent}{hypotenuse})$$ .

Trig Ratio Basics Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of the tangent ratio in a right triangle?

Back

Tags

CCSS.HSG.SRT.C.6

2.

FLASHCARD QUESTION

Front

What type of triangle is used for trigonometric ratios?

Back

Trigonometric ratios are used specifically with right triangles.

Tags

CCSS.HSG.SRT.C.6

3.

FLASHCARD QUESTION

Front

What is the formula for the sine ratio?

Back

Tags

CCSS.HSG.SRT.C.6

4.

FLASHCARD QUESTION

Front

What is the formula for the cosine ratio?

Back

Tags

CCSS.HSG.SRT.C.6

5.

FLASHCARD QUESTION

Front

If the opposite side is 4 and the adjacent side is 3, what is the tangent ratio?

Back

Tags

CCSS.HSG.SRT.C.6

6.

FLASHCARD QUESTION

Front

What is the hypotenuse in a right triangle with sides of length 3 and 4?

Back

Tags

CCSS.8.G.B.7

7.

FLASHCARD QUESTION

Front

What is the opposite side of angle A in a right triangle if the hypotenuse is 5 and the adjacent side is 4?

Back

Tags

CCSS.8.G.B.7

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