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Giải bài tập 12 trang 73 SGK Toán 9 tập 1 - Chân trời sáng tạo

Cho góc nhọn (alpha )biết sin(alpha ) = 0,8. Tính cos(alpha ), tan (alpha )và cot(alpha ).

Tổng hợp Đề thi vào 10 có đáp án và lời giải

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Đề bài

Cho góc nhọn \(\alpha \) biết sin\(\alpha \) = 0,8. Tính cos\(\alpha \), tan \(\alpha \) và cot\(\alpha \).

Video hướng dẫn giải

Phương pháp giải - Xem chi tiết

Từ sin\(\alpha \), tính số đo góc \(\alpha \). Dựa vào định nghĩa, ta tính được cos\(\alpha \), tan \(\alpha \) và cot\(\alpha \).

Lời giải chi tiết

Vì sin\(\alpha \) = 0,8 nên \(\alpha \approx 53^\circ 8'\)  Suy ra \(\cos \alpha  \approx \cos 53^\circ 8'  \approx 0,6\) \(\tan \alpha  \approx \tan 53^\circ 8'  \approx 1,3\) \(\cot \alpha  = \frac{1}{\tan \alpha} \approx 0,7\)

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