10. Trigonometric Ratios

Nd113 C6 L3 09 L Trigonometric Ratios V2

SOH - CAH - TOA

The sine , cosine , and tangent are all trigonometric ratios. A helpful mnemonic for remembering which sides each of these ratios compare is SOH - CAH - TOA

SOH - s ine is o pposite over h ypotenuse

\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}



CAH - c osine is a djacent over h ypotenuse

\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}



TOA - t angent is o pposite over a djacent

\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}

What is the cosine of 53.13 degrees?

SOLUTION: 3/5

What is the tangent of 53.13 degrees?

SOLUTION: 4/3

Nd113 C6 L3 095 L Trigonometric Ratios Solution V2

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