MATH101 Lecture Notes - Hypotenuse, Pythagorean Theorem

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11 Apr 2023
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The relationships between triangles" sides and angles are the subject of trigonometry. The three basic trigonometric functions are sine, cosine, and tangent, often abbreviated as sin, cos, and tan. Here are some examples of how to use trigonometry to solve problems: Given a right triangle with a hypotenuse of length 10 and an angle of 30 degrees, find the length of the side opposite to the angle. We can use the sine function to solve for the length of the side opposite to the angle: sin 30 = opposite / hypotenuse opposite = sin 30 * hypotenuse opposite = 0. 5 * 10 opposite = 5. Therefore, the length of the side opposite to the angle is 5. Given a right triangle with a hypotenuse of length 13 and an angle of 60 degrees, find the length of the side adjacent to the angle.

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