What is the range of the sine function?

The range of the sine function is [-1, 1].

What is the range of the cosine function?

The range of the cosine function is [-1, 1].

What is the period of the sine and cosine functions?

The period of the sine and cosine functions is $$360\degree$$ .

What is the period of the tangent function?

The period of the tangent function is $$180\degree$$ .

How do you find the general solution for trigonometric equations?

Use the principal solution and add integer multiples of the period.

What is the unit circle?

A circle with a radius of 1 centered at the origin of the coordinate plane.

How do you convert degrees to radians?

Multiply degrees by $$\frac{\pi}{180}$$ .

Resource Library

Math

Trigonometry

Trigonometric Equations

Unit 4 Graded Review Solving Trigonometric Equations Review

Unit 4 Graded Review - Solving Trigonometric Equations Review

Flashcard

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Hard

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15 questions

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FLASHCARD QUESTION

Front

What is the solution for $2\cos\theta-1=0$ in the interval $0\degree\le\theta\le360\degree$ ?

Back

$\theta=60\degree,\ 300\degree$

FLASHCARD QUESTION

Front

Solve: 4sin^2x = 3. State all solutions in the interval [0, 360).

Back

$60, 120, 240, 300$

FLASHCARD QUESTION

Front

Solve the equation $3\tan^2\theta -1 = 0$ for $0\le\theta<360$ .

Back

$30, 150, 210, 330$

FLASHCARD QUESTION

Front

What are the solutions to $4sin^2 x – 3sin x = 0$ ? Round to the nearest tenth.

Back

$0, 48.6, 131.4, 180$

FLASHCARD QUESTION

Front

Define the cosine function in terms of a right triangle.

Back

The cosine of an angle is the ratio of the length of the adjacent side to the hypotenuse.

FLASHCARD QUESTION

Front

What is the sine function?

Back

The sine of an angle is the ratio of the length of the opposite side to the hypotenuse.

FLASHCARD QUESTION

Front

What is the tangent function?

Back

The tangent of an angle is the ratio of the sine to the cosine of that angle.

FLASHCARD QUESTION

Front

State the Pythagorean identity for sine and cosine.

Back

$\sin^2\theta + \cos^2\theta = 1$ .

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