Kaip apskaičiuoti Trig Functions
Kas yra Trig Functions?
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.
Žingsnis po žingsnio vadovas
- 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
Worked Examples
Įvestis
sin 30°
Rezultatas
0.5
sin(π/6) = 1/2
Įvestis
cos 60°
Rezultatas
0.5
cos(π/3) = 1/2
Įvestis
tan 45°
Rezultatas
1
tan(π/4) = sin/cos = 1
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