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What is trigonometry ? and how to calculate trigonometry ? with explanation and example |
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Answer» Step-by-step explanation:Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of TRIANGLES. The field EMERGED in the Hellenistic worldExample: How Tall is The Tree? We can't reach the top of the tree, so we WALK AWAY and measure an angle (using a protractor) and DISTANCE (using a laser): We know the Hypotenuse And we want to know the Opposite Sine is the ratio of Opposite / Hypotenuse: sin(45°) = OppositeHypotenuse calculator-sin-cos-tan Get a calculator, type in "45", then the "sin" key: sin(45°) = 0.7071... What does the 0.7071... mean? It is the ratio of the side lengths, so the Opposite is about 0.7071 times as long as the Hypotenuse. We can now put 0.7071... in place of sin(45°): 0.7071... = OppositeHypotenuse And we also know the hypotenuse is 20: 0.7071... = Opposite20 To solve, first multiply both sides by 20: 20 × 0.7071... = Opposite Finally: Opposite = 14.14m (to 2 decimals) |
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