Evaluate $$\text{Sin}^{-1}igg(-\frac{\text{√}3}{2}igg)$$ .

The answer is $$-\frac{\text{π}}{3}$$ .

Simplify $$\frac{\text{sec}^2x}{\text{sec}^2x - 1}$$ .

The simplified form is $$\text{csc}^2x$$ .

What is the period of the function $$y = \text{sin}(kx)$$ ?

The period is $$\frac{2\text{π}}{k}$$ .

What is the relationship between sine and cosecant?

Cosecant is the reciprocal of sine: $$\text{csc}(x) = \frac{1}{\text{sin}(x)}$$ .

What is the inverse function of sine?

The inverse function of sine is arcsine, denoted as $$\text{arcsin}(x)$$ .

What is the relationship between the graphs of $$y = \text{sec}(x)$$ and $$y = \text{cos}(x)$$ ?

The graph of secant is the reciprocal of the cosine graph.

Graph of Trig Functions & Inverse Functions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

The amplitude is 3.

Tags

CCSS.HSF-IF.C.7E

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.B.7

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

They are the same graph.

Tags

CCSS.HSF-BF.B.4D

5.

FLASHCARD QUESTION

Front

What is the RANGE of angles for inverse tangent?

Back

The range is (-π/2, π/2).

Tags

CCSS.HSF-BF.B.4D

6.

FLASHCARD QUESTION

Front

Define amplitude in the context of trigonometric functions.

Back

Amplitude is the maximum distance from the midline to the peak of the wave.

Tags

CCSS.HSF-IF.C.7E

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.4

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