Simplify: $$\tan x \tan(-x)$$

The result is -1, since $$\tan(-x) = -\tan x$$ .

Simplify: $$\tan x \tan x - \tan^2 x$$

The result is 0, since $$\tan x \tan x = \tan^2 x$$ .

Simplify: $$\tan x + \tan(-x)$$

The result is 0, since $$\tan(-x) = -\tan x$$ .

What is the relationship between cosine and secant?

Secant is the reciprocal of cosine: $$\text{sec} x = \frac{1}{\text{cos} x}$$ .

Simplify: $$\tan x \tan x + 1$$

The result is $$\tan^2 x + 1 = \text{sec}^2 x$$ .

What is the definition of sine?

Sine is defined as the ratio of the opposite side to the hypotenuse in a right triangle: $$\text{sin} x = \frac{\text{opposite}}{\text{hypotenuse}}$$ .

Simplify: $$\tan x \tan x - 1$$

The result is $$\tan^2 x - 1$$ .

What is the identity for cosecant?

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

Simplify: $$\tan x \tan x + \text{sec}^2 x$$

The result is $$\tan^2 x + \text{sec}^2 x$$ .

What is the definition of cosine?

Cosine is defined as the ratio of the adjacent side to the hypotenuse in a right triangle: $$\text{cos} x = \frac{\text{adjacent}}{\text{hypotenuse}}$$ .

Simplify: $$\tan x \tan(-x) + 1$$

The result is 0, since $$\tan(-x) = -\tan x$$ .

FLASHCARD 4.1 - 4.2 (Part 1)- Simplify Trig Expressions w/ Identities Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define the Pythagorean Identity in trigonometry.

Back

Tags

CCSS.HSF.TF.C.8

2.

FLASHCARD QUESTION

Front

What is the relationship between sine and cosecant?

Back

Tags

CCSS.HSF.TF.A.4

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.4

4.

FLASHCARD QUESTION

Front

What is the definition of cotangent?

Back

Tags

CCSS.HSF.TF.A.2

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the identity for secant?

Back

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.A.4

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