Finding Sides Using Trigonometry Flashcards

GCSE Mathematics (Edexcel) 1MA1

Trigonometric Ratios

The three trigonometric ratios are sine (sin), cosine (cos), and tangent (tan).

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Terms in this set (10)

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Trigonometric Ratios

The three trigonometric ratios are sine (sin), cosine (cos), and tangent (tan).

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Sine Ratio

sin(θ) = Opposite / Hypotenuse

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Cosine Ratio

cos(θ) = Adjacent / Hypotenuse

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Tangent Ratio

tan(θ) = Opposite / Adjacent

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SOHCAHTOA

A mnemonic to remember the trigonometric ratios: Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

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Finding Opposite Side (Using Sine)

Rearrange sin(θ) = Opposite / Hypotenuse to Opposite = Hypotenuse × sin(θ).

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Finding Adjacent Side (Using Cosine)

Rearrange cos(θ) = Adjacent / Hypotenuse to Adjacent = Hypotenuse × cos(θ).

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Finding Opposite Side (Using Tangent)

Rearrange tan(θ) = Opposite / Adjacent to Opposite = Adjacent × tan(θ).

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Finding Adjacent Side (Using Tangent)

Rearrange tan(θ) = Opposite / Adjacent to Adjacent = Opposite / tan(θ).

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Key Step: Angle in Right-Angled Triangle

To use trigonometry, you need a right-angled triangle and the angle (θ) other than the right angle.

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