What is the general solution for the equation $$\text{sin}(x) = k$$ ?

The general solution is given by $$x = \text{arcsin}(k) + 2n\text{π}$$ and $$x = \text{π} - \text{arcsin}(k) + 2n\text{π}$$ , where n is any integer.

What is the cotangent function in terms of sine and cosine?

The cotangent function is defined as $$\text{cot}(x) = \frac{\text{cos}(x)}{\text{sin}(x)}$$ .

What is the relationship between sine and cosine?

Sine and cosine are related through the identity $$\text{sin}(x) = \text{cos}igg(\frac{\text{π}}{2} - xigg)$$ .

What is the solution set for the equation $$2\text{sin}^2(x) - 3\text{sin}(x) + 1 = 0$$ ?

The solution set is $$x = \frac{\text{π}}{6}, \frac{5\text{π}}{6}, \frac{\text{π}}{2}$$ .

What is the formula for converting between degrees and radians?

To convert degrees to radians, use the formula $$\text{radians} = \text{degrees} \times \frac{\text{π}}{180}$$ .

What is the tangent of 45 degrees?

The tangent of 45 degrees is 1.

What is the solution for the equation $$2\text{cos}(x)\text{sin}(x) = \text{cos}(x)$$ ?

The solution set is $$x = \frac{\text{π}}{2}, \frac{3\text{π}}{2}, \frac{\text{π}}{6}, \frac{5\text{π}}{6}$$ .

Solving Trigonometric Equations Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Pythagorean identity in trigonometry?

Back

Tags

CCSS.HSF.TF.C.8

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF.TF.B.7

3.

FLASHCARD QUESTION

Front

Back

Factor the equation to find the roots. Use the quadratic formula if necessary. The solutions are the values of x that satisfy the equation.

Tags

CCSS.HSF.TF.B.7

4.

FLASHCARD QUESTION

Front

What is the range of the sine function?

Back

The range of the sine function is from -1 to 1, inclusive.

Tags

CCSS.HSF.TF.A.4

5.

FLASHCARD QUESTION

Front

What is the range of the cosine function?

Back

The range of the cosine function is from -1 to 1, inclusive.

Tags

CCSS.HSF-IF.C.7E

6.

FLASHCARD QUESTION

Front

What is the double angle formula for sine?

Back

Tags

CCSS.HSF.TF.C.9

7.

FLASHCARD QUESTION

Front

What is the double angle formula for cosine?

Back

Tags

CCSS.HSF.TF.C.9

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