Section 9.5 Solving Trigonometric Equations Video Quiz

Under what condition will a trigonometric equation involving sine or cosine not have a solution?

• When the value is within the range of -1 to 1

• When the value is a fraction

• When the value is exactly 0

• When the value is outside the range of -1 to 1

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CCSS.HSF.TF.B.7

What are the solutions for the equation sine of theta equals √3/2?

• π/3 and 2π/3

• π/4 and 3π/4

• π/2 and 3π/2

• π/6 and 5π/6

Tags

CCSS.HSF.TF.B.7

How do you solve the equation 4 sine squared x = 2?

• Subtract 2 and take the square root

• Divide by 2 and take the square root

• Divide by 4 and take the square root

• Multiply by 2 and take the square root

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CCSS.HSF.TF.B.7

What is the first step in solving the equation 2 cosine squared t + cosine t - 1 = 0?

• Divide by 2

• Factor the equation

• Subtract 1 from both sides

• Add 1 to both sides

Tags

CCSS.HSA-REI.B.4B

When solving the equation y = sin(x) using the quadratic formula, what is the next step after finding the values for y?

• Use the double angle identity to find the corresponding angles.

• Use the Pythagorean identity to simplify the equation.

• Use arc sine to find the corresponding angles.

• Use the unit circle to find the corresponding angles.

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CCSS.HSF.TF.B.7

What is the reason for no solution when solving the equation y = cos(x) and the quadratic formula yields a value greater than 1?

• The unit circle does not support values greater than 1.

• Arc cosine cannot handle values greater than 1.

• Cosine values must be between -1 and 1.

• The quadratic formula is not applicable for cosine functions.

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CCSS.HSF.TF.B.7

In the equation 2y^2 + 7y + 6 = 0, what are the factors of the quadratic equation?

• (2y - 3)(y - 2)

• (2y + 3)(y + 2)

• (2y + 2)(y + 3)

• (2y - 2)(y - 3)

Tags

CCSS.HSA-REI.B.4B

What is the range of the arc tangent function?

• −π to π

• −π/2 to π/2

• 0 to π

• 0 to 2π

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CCSS.HSF-BF.B.4D

If you have the equation tan(x) = -0.34, in which quadrant will the solution lie?

• Third and Fourth

• First and Fourth

• Second and Third

• First and Second

Tags

CCSS.HSF.TF.B.7

An airplane has enough fuel to fly to a city 200 miles northeast. If the city is 25 miles north, how many degrees east should the plane fly?

• 7.2 degrees

• 15 degrees

• 30 degrees

• 45 degrees