Back to Explain symmetry and periodicity — Problem 1 · Task Set 70

Exercises: Symmetry and Periodicity of Trigonometric Functions

Grade 9·22 problems·~35 min·Common Core Math - HS Functions·group·hsf-tf-a-4
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Fluency Practice

1.

Use the even/odd properties of cosine and sine to evaluate.

Given that cos ⁣(π4)=22\cos\!\left(\dfrac{\pi}{4}\right) = \dfrac{\sqrt{2}}{2},
find cos ⁣(π4)\cos\!\left(-\dfrac{\pi}{4}\right).

Express your answer in simplest radical form.