What is the double angle formula for cosine?

$$\cos(2θ) = \cos^2 θ - \sin^2 θ$$ .

What is the identity for cotangent?

$$\cot θ = \frac{1}{\tan θ} = \frac{\cos θ}{\sin θ}$$ .

What is the sum of angles formula for sine?

$$\sin(a + b) = \sin a \cos b + \cos a \sin b$$ .

What is the sum of angles formula for cosine?

$$\cos(a + b) = \cos a \cos b - \sin a \sin b$$ .

Trigonometric Identities Review Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the common denominator for $\frac{1}{\cos^2x}+\frac{1}{\sin^2x}$ ?

Back

The common denominator is $\cos^2x\cdot\sin^2x$ .

2.

FLASHCARD QUESTION

Front

What is the identity for sin²θ?

Back

$\sin^2θ = 1 - \cos^2θ$ .

3.

FLASHCARD QUESTION

Front

How can you rewrite $\frac{\sin x}{\frac{1}{\cos x}}$ ?

Back

$\sin x\cdot\cos x$ .

4.

FLASHCARD QUESTION

Front

What strategy is best to simplify $\frac{\sin^2x+1}{\sin x}$ ?

Back

Break the fraction apart.

5.

FLASHCARD QUESTION

Front

Factor the expression: x² - 17x - 60.

Back

(x - 20)(x + 3).

6.

FLASHCARD QUESTION

Front

What is the Pythagorean identity for sine and cosine?

Back

$\sin^2θ + \cos^2θ = 1$ .

7.

FLASHCARD QUESTION

Front

What is the definition of secant?

Back

$\sec θ = \frac{1}{\cos θ}$ .

8.

FLASHCARD QUESTION

Front

What is the definition of cosecant?

Back

$\csc θ = \frac{1}{\sin θ}$ .

9.

FLASHCARD QUESTION

Front

What is the relationship between tangent and sine/cosine?

Back

$\tan θ = \frac{\sin θ}{\cos θ}$ .

10.

FLASHCARD QUESTION

Front

What is the double angle formula for sine?

Back

$\sin(2θ) = 2\sin θ \cos θ$ .

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