Solving Trigonometric Equations with the Unit Circle

What is the result of isolating the sine function in the equation and finding its value on the unit circle?

• sine of x equals 0

• sine of x equals 1/2

• sine of x equals 1

• sine of x equals -1/2

Tags

CCSS.HSF.TF.A.2

Where on the unit circle does sine equal -1/2?

• PI over 3 and 2 PI over 3

• PI over 4 and 3 PI over 4

• PI over 6 and 5 PI over 6

• 7 PI over 6 and 11 PI over 6

Tags

CCSS.HSF.TF.B.7

At which angles on the unit circle does cosine equal 1/2?

• PI over 6, 5 PI over 6

• PI over 3, 2 PI over 3

• PI over 3, 4 PI over 3

• PI over 4, 3 PI over 4

Tags

CCSS.HSF.TF.A.2

What values does cosine take at PI over 3 and 5 PI over 3?

• 0 and 1

• 1 and -1

• 1/2 and 1/2

• 1/2 and -1/2

Tags

CCSS.HSF.TF.A.2

How can you express a general solution for a trigonometric equation involving cosine?

• 2 PI over 3 plus PI n

• PI over 4 plus PI n

• PI over 6 plus 2 PI n

• PI over 3 plus PI n

Tags

CCSS.HSF.TF.B.7

How do you find the general solution for cosine values repeating around the unit circle?

• Add multiples of PI

• Add multiples of 2 PI

• Multiply by PI

• Subtract multiples of PI

Tags

CCSS.HSF.TF.B.7

What is the result of factoring the trigonometric equation and setting the factors to zero?

• sine of x equals -1/2 and sine of x equals 1/2

• sine of x equals 0 and sine of x equals 1

• sine of x equals -1/2 and sine of x equals -1

• sine of x equals 1/2 and sine of x equals 1

Tags

CCSS.HSF.TF.B.7

What are the solutions for the factored trigonometric equation?

• sine of x equals 0, sine of x equals 1

• sine of x equals 1/2, sine of x equals 1

• sine of x equals -1/2, sine of x equals -1

• sine of x equals -1/2, sine of x equals 1/2

Tags

CCSS.HSF.TF.B.7

What is the general solution for a trigonometric equation involving a multiple angle?

• x equals PI over 12 plus PI over 3 n

• x equals PI over 6 plus PI over 2 n

• x equals PI over 8 plus PI over 4 n

• x equals PI over 4 plus PI n

Tags

CCSS.HSF.TF.B.7

How is the general solution for a multiple angle trigonometric equation expressed?

• Add the multiple to the angle

• Subtract the multiple from the angle

• Divide the angle by the multiple

• Multiply the angle by the multiple

Tags

CCSS.HSF.TF.B.7