Trig Functions Nasıl Hesaplanır?
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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.
Adım Adım Kılavuz
- 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
Çözümlü Örnekler
Giriş
sin 30°
Sonuç
0.5
sin(π/6) = 1/2
Giriş
cos 60°
Sonuç
0.5
cos(π/3) = 1/2
Giriş
tan 45°
Sonuç
1
tan(π/4) = sin/cos = 1
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