Mathematics


If \( \tan(\theta) = \frac{3}{4} \) and \( \sin(\theta) > 0 \), find the values of \( \sin(2\theta) \) and \( \cos(2\theta) \).** 

(Hint: Use trigonometric identities for double angles: \( \sin(2\theta) = 2\sin(\theta)\cos(\theta) \) and \( \cos(2\theta) = \cos^2(\theta) – \sin^2(\theta) \))