Usa the fact that the trigonometric functions are periodic to find the exact value of the given expression. sin(17pi )/(4) sin(17pi )/(4)= square (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the e

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Answer 1

To find the exact value of the given expression, we can use the periodicity of the sine function. The sine function has a period of

, which means that the value of the sine function repeats every

radians.In this case, we have

. To simplify this expression, we can find an equivalent angle within the interval

.To do this, we can subtract multiples of

from

until we get an angle within the desired interval.

Now, we have

, which is a common angle in the unit circle. The sine of

is

.Therefore,

.So, the exact value of the given expression is

.

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