499 Simplifique as seguintes expressöes: a) $$ y=3 \operatorname{sen} \frac{3 \pi}{2}+\cos 2 \pi $$ b) $$ y=\frac{2 \operatorname{sen} \pi+3 \cos 2 \pi}{3} $$ c) $$ y=\frac{4 \cos \pi-3 \operatorname{sen} \frac{\pi}{2}}{2 \cos 0} $$

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**Resolução:**

a) Temos  
$$
y = 3 \sen \frac{3\pi}{2} + \cos 2\pi
$$  
Sabendo que  
$$
\sen \frac{3\pi}{2} = -1 \quad \text{e} \quad \cos 2\pi = 1,
$$  
substituímos:  
$$
y = 3(-1) + 1 = -3 + 1 = -2.
$$

b) Temos  
$$
y = \frac{2 \sen \pi + 3 \cos 2\pi}{3}
$$  
Sabendo que  
$$
\sen \pi = 0 \quad \text{e} \quad \cos 2\pi = 1,
$$  
substituímos:  
$$
y = \frac{2(0) + 3(1)}{3} = \frac{0 + 3}{3} = \frac{3}{3} = 1.
$$

c) Temos  
$$
y = \frac{4 \cos \pi - 3 \sen \frac{\pi}{2}}{2 \cos 0}
$$  
Sabendo que  
$$
\cos \pi = -1, \quad \sen \frac{\pi}{2} = 1 \quad \text{e} \quad \cos 0 = 1,
$$  
substituímos:  
$$
y = \frac{4(-1) - 3(1)}{2(1)} = \frac{-4 - 3}{2} = \frac{-7}{2}.
$$

**Respostas:**

a) $$ -2 $$  
b) $$ 1 $$  
c) $$ -\frac{7}{2} $$
**Respostas Simplificadas:** a) $$ -2 $$ b) $$ 1 $$ c) $$ -\frac{7}{2} $$

499 Simplifique as seguintes expressöes:
a)
b)
c)

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499 Simplifique as seguintes expressöes: a) b) c)