Prove identities with tangent half angle substitution - distance check
Let \(t=\tan\frac{x}{2}=1/2\). Using the tangent half-angle substitution, enter \(\sin x\).
Worked practice: result and interpretation
Calculate the requested result first, then choose the interpretation that follows from it.
Write a full answer
Now write the response in full, in your own words — this is what the exam asks for. The AI marks it on the same moves you built above (focus, evidence, technique, judgement) and gives feedback on reasoning, evidence, and expression.