What is amplitude and period in trig functions?

Problem Statement

What is amplitude and period in trig functions?

Step-by-Step Explanation

Amplitude controls wave height, while period controls how long one full cycle takes.

1. Identify what the question is asking. In Trigonometry, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

Amplitude controls wave height, while period controls how long one full cycle takes. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.