What is the formula for the sine of a difference of angles?

$$\text{sin}(a - b) = \text{sin}a \text{cos}b - \text{cos}a \text{sin}b$$

What is the relationship between the sides of a right triangle and the tangent function?

$$\tan\theta = \frac{\text{opposite}}{\text{adjacent}}$$

What is the definition of secant?

$$\text{sec}\theta = \frac{1}{\text{cos}\theta}$$

What is the formula for the area of a triangle given two sides and the included angle?

$$\text{Area} = \frac{1}{2}ab\text{sin}C$$

What is the relationship between the sine and cosine functions?

$$\text{sin}\theta = \text{cos}(90^\text{o} - \theta)$$

What is the formula for the double angle of sine?

$$\text{sin}(2\theta) = 2\text{sin}\theta \text{cos}\theta$$

What is the formula for the double angle of cosine?

$$\text{cos}(2\theta) = \text{cos}^2\theta - \text{sin}^2\theta$$

What is the definition of amplitude in a trigonometric function?

The amplitude is the maximum distance from the midline of the graph to its peak.

What is the definition of period in a trigonometric function?

The period is the distance along the x-axis for the function to complete one full cycle.

Math 4 Unit 4 Review Flashcards

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16 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

What is the definition of tanθ?

Back

3.

FLASHCARD QUESTION

Front

If Jack runs 100 feet away from his house and lets out 75 feet of string at an angle of elevation of 65 degrees, how far is the kite from the house?

Back

4.

FLASHCARD QUESTION

Front

What is the amplitude of the function y = 2sin(x)?

Back

2

5.

FLASHCARD QUESTION

Front

What is the period of the function y = sin(4x)?

Back

6.

FLASHCARD QUESTION

Front

What is the Pythagorean identity for sine and cosine?

Back

7.

FLASHCARD QUESTION

Front

What is the formula for the cosine of a sum of angles?

Back

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