如何计算Trig Functions
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Trigonometric functions (sin, cos, tan, csc, sec, cot) relate the angles and sides of triangles. They extend to the unit circle for all angles and are fundamental in physics, engineering, navigation, signal processing, and wave analysis.
分步指南
- 1In a right triangle: sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = opposite/adjacent
- 2Mnemonic: SOH-CAH-TOA
- 3Unit circle definition: sin θ = y-coordinate, cos θ = x-coordinate, at angle θ from positive x-axis
- 4Reciprocals: csc = 1/sin, sec = 1/cos, cot = 1/tan
例题解析
输入
sin 30°
结果
0.5
sin(π/6) = 1/2
输入
cos 60°
结果
0.5
cos(π/3) = 1/2
输入
tan 45°
结果
1
tan(π/4) = sin/cos = 1
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