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
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.