The image provided is an educational reference sheet explaining the trigonometric mnemonic
SOHCAHTOA. It does not contain a specific numerical problem to solve (such as finding a missing side or angle). Instead, it defines the three primary trigonometric ratios for right-angled triangles.
Here is the breakdown of the information presented:
1. The Mnemonic: SOHCAHTOA
This acronym helps you remember which sides of a right-angled triangle correspond to Sine, Cosine, and Tangent relative to a specific angle $\theta$.
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O = Opposite side (the side across from the angle)
*
A = Adjacent side (the side next to the angle, but not the hypotenuse)
*
H = Hypotenuse (the longest side, opposite the right angle)
2. The Three Ratios
*
SOH (Sine)
* Formula: $\sin(\theta) = \frac{\text{Opposite}}{\text{Hypotenuse}}$
* Triangle Aid: To find Opposite, multiply $\sin(\theta) \times H$. To find Hypotenuse, divide $O / \sin(\theta)$.
*
CAH (Cosine)
* Formula: $\cos(\theta) = \frac{\text{Adjacent}}{\text{Hypotenuse}}$
* Triangle Aid: To find Adjacent, multiply $\cos(\theta) \times H$. To find Hypotenuse, divide $A / \cos(\theta)$.
*
TOA (Tangent)
* Formula: $\tan(\theta) = \frac{\text{Opposite}}{\text{Adjacent}}$
* Triangle Aid: To find Opposite, multiply $\tan(\theta) \times A$. To find Adjacent, divide $O / \tan(\theta)$.
Since there is no specific question with numbers to calculate, the "solution" is the understanding of these definitions.
Final Answer:
The image defines the trigonometric ratios for right-angled triangles as:
$\sin(\theta) = \frac{O}{H}$, $\cos(\theta) = \frac{A}{H}$, and $\tan(\theta) = \frac{O}{A}$.
Parent Tip: Review the logic above to help your child master the concept of worksheet trigonometric ratios sohcahtoa.
