Harrington Reed
07/16/2024 · Middle School
3) \( \operatorname{tg}\left(180^{\circ}-\alpha\right) \), якщо \( \operatorname{tg} \alpha=8 \) ?
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Tutor-Verified Answer
Step-by-step Solution
Відомо, що \(\operatorname{tg}(180^{\circ} - \alpha) = -\operatorname{tg}(\alpha)\). Це властивість тангенса, яка випливає з тригонометричних функцій.
Отже, якщо \(\operatorname{tg} \alpha = 8\), то:
\[
\operatorname{tg}(180^{\circ} - \alpha) = -\operatorname{tg}(\alpha) = -8.
\]
Таким чином, відповідь:
\[
\operatorname{tg}(180^{\circ} - \alpha) = -8.
\]
Quick Answer
\(\operatorname{tg}(180^{\circ} - \alpha) = -8\).
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