Question

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Answer 1

$1)Sin58^{0}Cos13^{0}-Cos58^{0}Sin13^{0}=Sin(58^{0}-13^{0})=Sin45^{0}=\boxed{\frac{\sqrt{2} }{2}}\\\\\\2)Sin\frac{\pi }{3} +Sin\frac{\pi }{4}=2Sin\frac{\frac{\pi }{3}+\frac{\pi }{4}}{2}Cos\frac{\frac{\pi }{3}-\frac{\pi }{4}}{2}=2Sin\frac{\frac{7\pi }{12}}{2}Cos\frac{\frac{\pi }{12}}{2}=\boxed{2Sin\frac{7\pi }{24}Cos\frac{\pi }{24}}$