Question
(7) Calcule o valor da expressão 4. \( \cos \left(\frac{\pi}{2}\right)-3 \cdot \operatorname{sen}\left(\frac{3 \pi}{2}\right)+\operatorname{tg}\left(\frac{\pi}{4}\right) \)
Ask by Garza Norris. in Brazil
Mar 12,2025
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O valor da expressão é 4.
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Vamos calcular a expressão passo a passo! 1. \( \cos\left(\frac{\pi}{2}\right) = 0 \). 2. \( \operatorname{sen}\left(\frac{3\pi}{2}\right) = -1 \), então \( -3 \cdot \operatorname{sen}\left(\frac{3\pi}{2}\right) = -3 \cdot (-1) = 3 \). 3. \( \operatorname{tg}\left(\frac{\pi}{4}\right) = 1 \). Agora substituindo os valores na expressão: \[ 4 \cdot 0 - 3 + 1 = 0 - 3 + 1 = -2. \] Portanto, o valor da expressão é \(-2\).