State the reciprocal identity for sine.

$$\text{sin } x = \frac{1}{\text{csc } x}$$

What is the relationship between cotangent and tangent?

$$\text{cot } x = \frac{1}{\text{tan } x}$$

What is the Pythagorean identity involving secant and tangent?

$$\text{sec}^2 x = 1 + \text{tan}^2 x$$

Resource Library

Math

Trigonometry

Trigonometric Identities

Hw 5.1 Verifying Trigonometric Identities

HW 5.1 Verifying Trigonometric Identities

Flashcard

•

Mathematics

•

10th Grade

•

Practice Problem

•

Easy

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FLASHCARD QUESTION

Front

Define cosecant (csc) in terms of sine.

Back

$\text{csc } x = \frac{1}{\text{sin } x}$

FLASHCARD QUESTION

Front

What is the relationship between secant (sec) and cosine?

Back

$\text{sec } x = \frac{1}{\text{cos } x}$

FLASHCARD QUESTION

Front

Simplify: $\text{csc } x \tan x$

Back

$\text{sec } x$

FLASHCARD QUESTION

Front

What is the Pythagorean identity involving sine and cosine?

Back

$\text{sin}^2 x + \text{cos}^2 x = 1$

FLASHCARD QUESTION

Front

Define cotangent (cot) in terms of sine and cosine.

Back

$\text{cot } x = \frac{\text{cos } x}{\text{sin } x}$

FLASHCARD QUESTION

Front

Simplify: $\frac{\text{cot } x}{\text{sec}^2 x + \text{csc}^2 x}$

Back

$\frac{\text{sin } x \text{cos}^2 x}{\text{sec } x}$

FLASHCARD QUESTION

Front

What is the identity for cosecant squared?

Back

$\text{csc}^2 x = 1 + \text{cot}^2 x$

FLASHCARD QUESTION

Front

Simplify: $\frac{\text{cot}^2 x}{1 - \text{sin}^2 x}$

Back

$\text{csc}^2 x$

FLASHCARD QUESTION

Front

What is the relationship between tangent (tan) and sine/cosine?

Back

$\text{tan } x = \frac{\text{sin } x}{\text{cos } x}$

10.

FLASHCARD QUESTION

Front

Simplify: $\text{csc}^2 x (1 - \text{sec}^2 x)$

Back

$-\text{sec}^2 x$

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