Trigonometric Proof (Edexcel A-Level Mathematics): Quizzes

📚Quizzes
Trigonometric Proof
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

For which values must a trigonometric identity be true when proving it?

All values within the domain

Which side should you start with when proving a trigonometric identity?

The more complex side

Which Pythagorean identity involves tan⁡θ\tan \theta and sec⁡θ\sec \theta?

1+tan⁡2θ=sec⁡2θ1 + \tan^2 \theta = \sec^2 \theta

What is the reciprocal identity for sec⁡θ\sec \theta?

sec⁡θ=1cos⁡θ\sec \theta = \frac{1}{\cos \theta}

What is the quotient identity for tan⁡θ\tan \theta?

tan⁡θ=sin⁡θcos⁡θ\tan \theta = \frac{\sin \theta}{\cos \theta}

What is the double angle identity for sin⁡2θ\sin 2\theta?

sin⁡2θ=2sin⁡θcos⁡θ\sin 2\theta = 2\sin \theta \cos \theta

Which Pythagorean identity involves csc⁡θ\csc \theta and cot⁡θ\cot \theta?

csc⁡2θ=1+cot⁡2θ\csc^2 \theta = 1 + \cot^2 \theta

What technique helps recognize patterns more easily in complex identities?

Converting to sine and cosine

What statement indicates that a trigonometric identity has been proven?

LHS = RHS

In proving sec⁡2θ−tan⁡2θ=1\sec^2 \theta - \tan^2 \theta = 1, which substitution is used?

sec⁡2θ=1+tan⁡2θ\sec^2 \theta = 1 + \tan^2 \theta

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.