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Question

Find the following ratio by drawing a reference angle.

sin315\sin 315^{\circ}

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A Periodic function \textbf{Periodic function } is a function which repeats its value at fix regular interval. For example let f(x) be a periodic function with having period TT then it should be :   f(x)=f(x+T)  \boxed{\ \ f(x)=f(x+T)\ \ }

In the given graph we can see that the value of function is repeating at regular interval. The value of the function is same after the interval of 5.

f(4)=f(4)  so period =4+4=8f(-4)=f(4)\ \Rightarrow\ \text{so period }=4+4=8

Hence, given graph is of periodic function with period 8\textbf{Hence, given graph is of periodic function with period 8}

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