Describe the horizontal shift for $$y = 2 \sin\left(\theta - \frac{\pi}{2}\right)$$ .

The horizontal shift is right by $$\frac{\pi}{2}$$ .

Describe the horizontal and vertical shifts for a function that is shifted left by $$\pi$$ and down by 3.

The shifts are left $$\pi$$ , down 3.

What is the phase shift of the function $$y = \sin(\theta + \frac{\pi}{4})$$ ?

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

What is the frequency of the function $$y = \cos(3\theta)$$ ?

The frequency is $$\frac{3}{2\pi}$$ .

What is the equation of the sine function with a period of $$2\pi$$ ?

The equation is $$y = \sin(\theta)$$ .

What is the effect of changing the coefficient of $$\sin(\theta)$$ in the function $$y = a\sin(\theta)$$ ?

Changing the coefficient affects the amplitude.

What is the vertical asymptote of the function $$y = \tan(\theta)$$ ?

The vertical asymptotes are at $$\theta = \frac{\pi}{2} + n\pi$$ , where n is an integer.

What is the relationship between sine and cosine functions?

The sine function is the cosine function shifted left by $$\frac{\pi}{2}$$ .

Warmup328 Math 3 trig Flashcards

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15 questions

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

Front

What is the equation of the graph shown if it resembles a tangent function?

Back

4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

Front

This is the equation of which graph: y = sin^{-1} x, y = cos^{-1} x, y = sec x, y = csc x?

Back

6.

FLASHCARD QUESTION

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The amplitude is 5.

7.

FLASHCARD QUESTION

Front

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The vertical shift is up 2.

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