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Lý thuyết Một số hệ thức về cạnh và góc trong tam giác vuông Toán 9 Cùng khám phá

1. Một số hệ thức về cạnh và góc trong tam giác vuông Trong tam giác vuông, mỗi cạnh góc vuông bằng: + cạnh huyền nhân với sin góc đối hoặc nhân với côsin góc kề. Cạnh góc vuông = (cạnh huyền ) × (sin góc đối) = (cạnh huyền ) × (cosin góc kề) + cạnh góc vuông kia nhân với tang góc đối hoặc côtang góc kề. Cạnh góc vuông = (cạnh góc vuông còn lại ) × (tan góc đối) = (cạnh góc vuông còn lại ) × (cot góc kề)

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

Toán - Văn - Anh
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1. Một số hệ thức về cạnh và góc trong tam giác vuông

Trong tam giác vuông, mỗi cạnh góc vuông bằng: + cạnh huyền nhân với sin góc đối hoặc nhân với côsin góc kề.

Cạnh góc vuông = (cạnh huyền ) × (sin góc đối)

= (cạnh huyền ) × (cosin góc kề)

+ cạnh góc vuông kia nhân với tang góc đối hoặc côtang góc kề.

Cạnh góc vuông = (cạnh góc vuông còn lại ) × (tan góc đối)

= (cạnh góc vuông còn lại ) × (cot góc kề)

Ví dụ:

Trong tam giác ABC vuông tại A, ta có:\(\begin{array}{l}b = a.\sin B = a.\cos C;\\c = a.\sin C = a.\cos B.\end{array}\)\(\begin{array}{l}b = c.\tan B = c.\cot C;\\c = b.\tan C = b.\cot B.\end{array}\)

2. Giải tam giác vuông

Bài toán Giải tam giác vuông

Bài toán xác định số đo tất cả các góc và độ dài tất cả các cạnh của một tam giác vuông được gọi là bài toán giải tam giác vuông.🐬 Ta có thể giải được một tam giác vuông nếu biết độ dài của hai cạnh bất kì hoặc độ dài một cạnh cùng với số đo một góc nhọn bất kì của nó.

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Tham Gia Group Dành Cho Lớp 9 - Ôn Thi Vào Lớp 10 Miễn Phí

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