The SOHCAHTOA mnemonic is one of the most useful and memorable ways to learn trigonometric ratios. Within the word SOHCAHTOA, the three primary trigonometric functions—Sine (Sin), Cosine (Cos), and Tangent (Tan)—are embedded.

• SOH stands for Sine = Opposite / Hypotenuse

  • S = Sine
  • O = Opposite
  • H = Hypotenuse

• CAH stands for Cosine = Adjacent / Hypotenuse

  • C = Cosine
  • A = Adjacent
  • H = Hypotenuse

• TOA stands for Tangent = Opposite / Adjacent

  • T = Tangent
  • O = Opposite
  • A = Adjacent

You can use the SOHCAHTOA calculator by calculator-online.net to find all the trigonometric ratios and understand their relationships. Once you remember the word SOHCAHTOA, it becomes much easier to recall the formulas and measurements used in trigonometry.

What is SOHCAHTOA?

Using the SOHCAHTOA mnemonic, students can easily learn the three basic trigonometric ratios:

Primary Trigonometric Ratios

• SOH

  Sin(θ) = Opposite Side / Hypotenuse

• CAH

  Cos(θ) = Adjacent Side / Hypotenuse

• TOA

  Tan(θ) = Opposite Side / Adjacent Side

Once a student understands these fundamental ratios, it becomes easier to learn the remaining three trigonometric ratios.

Reciprocal Trigonometric Ratios

Cosec θ

Cosec θ = 1 / Sin(θ) = Sin⁻¹θ = Hypotenuse / Opposite

Sec θ

Sec θ = 1 / Cos(θ) = Cos⁻¹θ = Hypotenuse / Adjacent

Cot θ

Cot θ = 1 / Tan(θ) = Tan⁻¹θ = Adjacent / Opposite

The trigonometry calculator makes it possible to find all the sides and missing angles of a right-angled triangle.

Adjacent Side

The adjacent side is the side that lies next to the selected angle in a right-angled triangle. It is often referred to as the base of the triangle.

In the figure above, AB is the adjacent side because it is directly next to the angle being considered.

The SOHCAHTOA Calculator enables users to find any side or missing angle of a right-angled triangle.

Opposite Side

The opposite side is the side directly opposite the selected angle in a right-angled triangle.

In the figure above, BC is the opposite side of the triangle.

The opposite side is also commonly referred to as the perpendicular of a right-angled triangle.

Hypotenuse

The hypotenuse is the longest side of a right-angled triangle. It lies opposite the right angle and is always longer than both the base and the perpendicular.

In the figure above, AC is the hypotenuse of the triangle.

You can use the SOHCAHTOA Calculator to determine the:

• Adjacent side
• Opposite side
• Hypotenuse

of a right-angled triangle.

Conclusion

The SOHCAHTOA Calculator can compute missing sides and angles of a triangle with ease. Learning the SOHCAHTOA mnemonic makes it much simpler to remember the trigonometric ratios and their relationships.

Students can learn trigonometry more effectively when they understand and remember these ratios. Since it is common to forget the relationships between trigonometric functions, SOHCAHTOA serves as a simple and reliable memory aid for both learning and revision.