8
QuizMultiple Choice

Changes in Period and Phase Shift of Sine and Cosine Functions — Unit test

Question 8 • AZ-Common Core Algebra II B

Which measure is of an angle that is coterminal with a 95° angle?

Answer
A
95° – (1,450n)°, for any integer n
B
95° – (1,080n)°, for any integer n
C
95° – (780n)°, for any integer n
D
95° – (340n)°, for any integer n

Explanation

Coterminal angles differ by a whole-number multiple of 360°. In choice B, 1,080° = 3 × 360°, so subtracting 1,080n° from 95° changes the angle by a whole number of full rotations. Thus 95° – (1,080n)° is coterminal with 95° for any integer n.

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