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use the even-odd properties of the trigonometric functions to find the exact value of the cos(-(pi )/(4)) select the correct choice

Question

Use the even-odd properties of the trigonometric functions to find the exact value of the cos(-(pi )/(4)) Select the correct choice below and fill in any answer boxes in your choice. cos(-(pi )/(4))= (Simplify your viswer, including any radicals. Use integers or fractions for ar B. The answer is undefined.

Solution

Verificación de expertos
3.7 (270 Votos)
Matheus Mestre · Tutor por 5 anos

Resposta

To find the exact value of using the even-odd properties of trigonometric functions, we can use the following property:The cosine function is an even function, which means that .Therefore, we can rewrite the expression as: Now, we need to find the exact value of .The angle is a special angle in the unit circle, and its cosine value is .Therefore, the exact value of is .So, the correct choice is:A.