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如何计算Trigonometric Ratios

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Trigonometric ratios (SOH-CAH-TOA) relate the angles and sides of right triangles. They are fundamental in geometry, physics, engineering, and navigation.

公式

sin(θ) = Opposite / Hypotenuse

分步指南

  1. 1sin(θ) = Opposite / Hypotenuse
  2. 2cos(θ) = Adjacent / Hypotenuse
  3. 3tan(θ) = Opposite / Adjacent
  4. 4Inverse: θ = arcsin(O/H) to find angle from ratio

例题解析

输入
Right triangle: hypotenuse 10, angle 30°
结果
Opposite = 10×sin(30°) = 10×0.5 = 5; Adjacent = 10×cos(30°) = 8.66

常见问题

What is Trig Ratios?

Trigonometric ratios (SOH-CAH-TOA) relate the angles and sides of right triangles. They are fundamental in geometry, physics, engineering, and navigation

How accurate is the Trig Ratios calculator?

The calculator uses the standard published formula for trig ratios. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Trig Ratios calculator use?

This calculator works with inches. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Trig Ratios calculator use?

The core formula is: sin(θ) = Opposite / Hypotenuse. Each step in the calculation is shown so you can verify the result manually.

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