LEARN · EXPLAIN · REVISE

Write the angle as cπ radians; find c.

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

210^{\circ}

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Keep degrees and radians distinct and use the definition of angular measure.

Hint 2

One straight angle is π radians.

Worked solution

Keep degrees and radians distinct and use the definition of angular measure.
Calculate or simplify this relation.
$210^{\circ}\cdot\frac{\pi}{180^{\circ}}=\frac{7}6\pi$
The numerical coefficient changes with the unit, but the geometric angle does not.

The requested value is 1.16666667.

Checks and common pitfalls: The numerical coefficient changes with the unit, but the geometric angle does not.

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

Teacher preparation and assessment