What is the reference angle for $$\frac{17\pi}{6}$$ ?

The reference angle is $$\frac{\pi}{6}$$ .

Describe the horizontal shift of the function $$y = \cos\left(2x + \frac{\pi}{2}\right)$$ .

The horizontal shift is left $$\frac{\pi}{4}$$ .

Convert $$\frac{22\pi}{4}$$ to degrees.

$$\frac{22\pi}{4} = 990\degree$$ .

Find a sine function with a period of $$\pi$$ , amplitude of 2, shifted right by $$\frac{\pi}{2}$$ , and shifted up 2.

The function is $$y = 2\sin\left(2x - \pi\right) + 2$$ .

How do you find the reference angle in radians?

The reference angle is the acute angle formed by the terminal side of the angle and the x-axis.

What is the relationship between degrees and radians?

$$180\degree = \pi\text{ radians}$$ .

What does a negative shift in a cosine function indicate?

A negative shift indicates a shift to the right on the graph.

How do you convert radians to degrees?

Multiply the radian measure by $$\frac{180}{\pi}$$ .

What is the effect of changing the coefficient of $$x$$ in a sine function?

Changing the coefficient affects the period of the function.

What is the general form of a sine function?

The general form is $$y = A\sin(B(x - C)) + D$$ , where $$A$$ is amplitude, $$B$$ affects period, $$C$$ is horizontal shift, and $$D$$ is vertical shift.

What is the significance of the vertical shift in a trigonometric function?

The vertical shift moves the graph up or down, changing the midline of the function.

How do you determine the direction of a horizontal shift in a trigonometric function?

A positive value indicates a shift to the right, while a negative value indicates a shift to the left.

CPM Test 6 (V11) Circular Trig 24-25 (Q15) Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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2.

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3.

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

Front

What is the formula to find the period of a sine function?

Back

7.

FLASHCARD QUESTION

Front

What is the amplitude of a sine function?

Back

The amplitude is the maximum value of the function from its midline.

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