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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.
دليل خطوة بخطوة
- 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
أمثلة محلولة
الإدخال
sin 30°
النتيجة
0.5
sin(π/6) = 1/2
الإدخال
cos 60°
النتيجة
0.5
cos(π/3) = 1/2
الإدخال
tan 45°
النتيجة
1
tan(π/4) = sin/cos = 1
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