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Find the value of (i) "sin" ((25pi)/(3...

Find the value of `(i) "sin" ((25pi)/(3))" ""(ii) cos "((41pi)/(4))"

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To solve the given trigonometric functions, we will simplify each angle using periodic properties of sine and cosine. ### (i) Find the value of \( \sin\left(\frac{25\pi}{3}\right) \) **Step 1: Simplify the angle** To simplify \( \frac{25\pi}{3} \), we can subtract multiples of \( 2\pi \) (which is \( \frac{6\pi}{3} \)) until the angle is within the range \( [0, 2\pi) \). Calculate how many full circles (i.e., \( 2\pi \)) fit into \( \frac{25\pi}{3} \): ...
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