LEARN · EXPLAIN · REVISE

Count the zeros on the closed interval.

Read the idea, work independently, then explain what changed.

TOPIC 01

Trigonometric functions: mixed assessment

A mixed assessment: identify the method, justify it and revise your reasoning.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Foundation#Your turn

y=\sin x;\quad0\le x\le7\pi

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Read amplitude, period and allowed intervals directly from the trigonometric graph.

Hint 2

Include both interval endpoints if they are zeros.

Worked solution

Read amplitude, period and allowed intervals directly from the trigonometric graph.
Calculate or simplify this relation.
$x=n\pi,\quad n=0,1,\ldots,7$
The number of subintervals differs from the number of endpoints.

The requested value is 8.

Checks and common pitfalls: The number of subintervals differs from the number of endpoints.

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment