Solving Trig Equations

Solving Trig Equations

Assessment

Flashcard

Mathematics

11th Grade

Practice Problem

Hard

CCSS
HSF.TF.B.7, HSF.TF.C.9, HSF.TF.A.4

+4

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²x + cos²x = 1

Tags

CCSS.HSF.TF.C.8

2.

FLASHCARD QUESTION

Front

How do you factor the equation 0 = sin²x - sinx?

Back

0 = sinx(sinx - 1)

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

What is the solution to the equation 1/4sin x + 1 = 0 on the domain [0, 2π)?

Back

No solution

Tags

CCSS.HSF.TF.B.7

4.

FLASHCARD QUESTION

Front

What is the factored form of sec²x - secx - 2?

Back

(secx - 2)(secx + 1)

Tags

CCSS.HSA.APR.C.4

5.

FLASHCARD QUESTION

Front

How do you solve the equation 2sin x cos x = √2 cos x?

Back

Divide by cos x (if cos x ≠ 0) to get 2sin x = √2, then solve for x.

Tags

CCSS.HSF.TF.B.7

6.

FLASHCARD QUESTION

Front

What is the general solution for sin x = 0?

Back

x = nπ, where n is an integer.

Tags

CCSS.HSF.TF.B.7

7.

FLASHCARD QUESTION

Front

What is the general solution for cos x = 0?

Back

x = (2n + 1)π/2, where n is an integer.

Tags

CCSS.HSF.TF.B.7

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