LEARN · EXPLAIN · REVISE

Evaluate exactly.

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

TOPIC 01

Trigonometric ratios and function graphs

The angle is in degrees; 30 radians is a different angle.

PREDICT → MOVE → EXPLAIN

Predict the number of cycles and the horizontal shift. Switch angle units without changing the curve.

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

01 / Foundation#Your turn

\sin30^\circ

Working and explanation

BUILD THE REASONING

Hint 1

Use a 30°–60°–90° triangle.

Hint 2

The side opposite 30° is half the hypotenuse.

Worked solution

1/2.

Checks and common pitfalls: The angle is in degrees; 30 radians is a different angle.

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