What is the period of the function $$y=-2\text{sin}(3(x-\frac{\text{π}}{2}))-1$$ ?

The period of the function is $$\frac{2\text{π}}{3}$$ .

What is $$\text{cos}^{-1}(\frac{\text{√3}}{2})$$ ?

The value is $$\frac{\text{π}}{6}$$ .

What is $$\text{sin}^{-1}(-\frac{1}{2})$$ ?

The value is $$-\frac{\text{π}}{6}$$ .

What is the range of the sine function?

The range of the sine function is [-1, 1].

What is the relationship between sine and cosine for complementary angles?

$$\text{sin}(x) = \text{cos}(90^\text{°} - x)$$ .

What is the definition of inverse trigonometric functions?

Inverse trigonometric functions return the angle whose trigonometric function value is a given number.

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

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

What is the unit circle?

The unit circle is a circle with a radius of 1 centered at the origin of the coordinate plane, used to define trigonometric functions.

What is the relationship between radians and degrees?

$$180^\text{°} = \text{π} \text{ radians}$$ .

Chapter 4 Review HPC Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

How do you calculate the height of a tree using the angle of elevation?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

How do you find the length of a side in a triangle?

Back

Use the Pythagorean theorem or trigonometric ratios depending on the information given.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Define the period of a trigonometric function.

Back

The period is the distance over which the function repeats its values.

7.

FLASHCARD QUESTION

Front

What is the formula for the height of an object using trigonometry?

Back

Height = distance * tan(angle of elevation).

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