Sum and Difference Formulas

Sum and Difference Formulas

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF.TF.C.9, HSF.TF.C.8, HSF.TF.A.2

+2

Standards-aligned

Created by

Wayground Content

FREE Resource

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14 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for \( \cos(\alpha - \beta) \)?

Back

\( \cos(\alpha - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta \)

Tags

CCSS.HSF.TF.C.9

2.

FLASHCARD QUESTION

Front

Expand \( \sin(33^{\circ} + 42^{\circ}) \).

Back

\( \sin(33^{\circ}) \cos(42^{\circ}) + \cos(33^{\circ}) \sin(42^{\circ}) \)

Tags

CCSS.HSF.TF.C.9

3.

FLASHCARD QUESTION

Front

What is the Pythagorean identity for sine and cosine?

Back

\( \cos^2 x + \sin^2 x = 1 \)

Tags

CCSS.HSF.TF.C.8

4.

FLASHCARD QUESTION

Front

Given \( \tan \alpha = \frac{3}{4} \) and \( \tan \beta = -\frac{1}{2} \), how do you find \( \tan(\alpha - \beta) \)?

Back

Use the formula: \( \tan(\alpha - \beta) = \frac{\tan \alpha - \tan \beta}{1 + \tan \alpha \tan \beta} \)

Tags

CCSS.HSF.TF.C.9

5.

FLASHCARD QUESTION

Front

What is the value of \( \tan(105^{\circ}) \)?

Back

\( \tan(105^{\circ}) = -2 - \sqrt{3} \)

Tags

CCSS.HSF.TF.C.9

6.

FLASHCARD QUESTION

Front

What is the formula for \( \sin(\alpha + \beta) \)?

Back

\( \sin(\alpha + \beta) = \sin \alpha \cos \beta + \cos \alpha \sin \beta \)

Tags

CCSS.HSF.TF.C.9

7.

FLASHCARD QUESTION

Front

What is the formula for \( \cos(\alpha + \beta) \)?

Back

\( \cos(\alpha + \beta) = \cos \alpha \cos \beta - \sin \alpha \sin \beta \)

Tags

CCSS.HSF.TF.C.9

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