Mastering Trigonometry | Understanding the SOHCAHTOA Mnemonic and its Significance in Solving Right-Angled Triangles

SOHCAHTOA

SOHCAHTOA is a mnemonic device used in trigonometry to remember the three main trigonometric ratios for right-angled triangles: sine, cosine, and tangent

SOHCAHTOA is a mnemonic device used in trigonometry to remember the three main trigonometric ratios for right-angled triangles: sine, cosine, and tangent.

Let’s break down each component of the mnemonic:

– SOH stands for “Sine equals Opposite over Hypotenuse.” This means that in a right-angled triangle, the ratio of the length of the side opposite the angle (O) to the length of the hypotenuse (H) is equal to the sine of the angle (θ).

– CAH stands for “Cosine equals Adjacent over Hypotenuse.” Similarly, this means that the ratio of the length of the side adjacent to the angle (A) to the length of the hypotenuse (H) is equal to the cosine of the angle (θ).

– TOA stands for “Tangent equals Opposite over Adjacent.” This means that the ratio of the length of the side opposite the angle (O) to the length of the side adjacent to the angle (A) is equal to the tangent of the angle (θ).

These ratios are fundamental in trigonometry and are used to calculate the unknown lengths and angles of right-angled triangles. By remembering SOHCAHTOA, you can easily recall the appropriate trigonometric ratio to use when solving trigonometric problems.

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