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Unit 7 Solving TRIG Equations Form B

Last updated about 1 year ago

35 questions

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Question 35

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Which of these problems has a restricted domain?

f(x)=cos(x) + sin(x)

f(x) = 2sin(x+5) - 3

f(x) = cos(x)sin(x) + sin(x)cos(x)

f(x) = 3cotan(x) + 2

Refer to your Unit Circle or the CAST Rule. In which quadrant is ONLY the Sine function positive?

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

1

2

3

4

What is the standard period of the cosecant function?

What are the primary solutions for sin(x) = 0?

What is the period of the cotangent function?

How many solutions does a TRIG function have?

TRIG functions will always have 2 solutions.

Sin and Cos will have 2 solutions. Tan will have 1 solution.

All TRIG functions have an infinite number of solutions unless the domain is restricted.

The TRIG function will have 0, 1, or 2 solutions.

Which of the following answers is out of range for the arcsin function?

0

What is the range of the arccos function?

Which exponent is used to denote the inverse trig functions or arc trig functions?

0

1

2

-1

-2

Simplify this expression:

2sin(x) - 1

csc(x)-tan(x)

0

-1

cos(x) - 2sin(x)

divide by cosine

divide by sine

multiply by sine

apply the arccos function

apply the arcsin function

What is the definition of a TRIG identity?

an equation of a functions that results in a solution of 1. These identities are fundamental tools for simplifying expressions, solving equations, and proving other trigonometric relationships.

an equation involving trigonometric functions that remains true for sine, cosine, and tangent values of the variable within the domain of the functions. They are not always true for csc, sec, and cot.

an equation involving trigonometric functions that remains true for all values of the variable within the domain of the functions. These identities are fundamental tools for simplifying expressions, solving equations, and proving other trigonometric relationships.

an equation of a function that results in both sides being equal. These identities are fundamental tools for simplifying expressions, solving equations, and proving other trigonometric relationships.

Solve for the value of x in the trigonometric equation below. (Use the domain -pi/2 to pi/2)

Which of the following has a period of 6pi?

Which of these functions shows a horizontal shift 4 spaces to the left?

y=sin(x-4)

y=sin(x+4)

y=sin(x) + 4

y=sin(x) +8

Which of the following shows a down shift of 8?

Which of the following has the highest amplitude?

y = -10sinx

y = 4sinx + 100

y = -6sinx - 20

y = 2sin(x+50)

Which of the following has the shortest period?

y = 2cos(12x)

y = sin(x/30)

y = cos(10x)

y = 7sin(3x - 50)

What is recommended to help you simplify your more complicated side of a TRIG equation?

Rewrite everything in terms of sine and secant.

Rewrite everything in terms of cosecant and secant.

Start cancelling things out.

Rewrite everything in terms of sine and cosine.

What do we refer to for special angles when solving TRIG functions?

The right triangle

The right square

The unit circle

The Pythagorean Theorem

The tangent function is equal to which of the following?

1/cosine

1/cosecant

1/secant

1/cotangent

1/2

-1/2

1

-1

-1

26

36

23

The secant function is equal to which of the following?