LEARN · EXPLAIN · REVISE

Find tangent after a half turn.

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

\tan\alpha=7;\quad\tan(\pi+\alpha)

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Use unit-circle symmetry and periodicity; determine the sign before simplifying.

Hint 2

Both sine and cosine change sign.

Worked solution

Use unit-circle symmetry and periodicity; determine the sign before simplifying.
Calculate or simplify this relation.
$\tan(\pi+\alpha)=\tan\alpha=7$
Their quotient stays unchanged when defined.

The requested value is 7.

Checks and common pitfalls: Their quotient stays unchanged when defined.

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

Teacher preparation and assessment