Trigonometric Proof (AQA A-Level Mathematics): Quizzes

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Trigonometric Proof
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What do trigonometric proofs demonstrate about identities or equations?

True for all values in the domain

When proving an identity, which side should you start simplifying?

The more complex side

Which Pythagorean identity is equivalent to 1+tan2θ1 + \tan^2 \theta?

sec2θ\sec^2 \theta

What is the reciprocal identity for secθ\sec \theta?

1cosθ\frac{1}{\cos \theta}

What is the quotient identity for tanθ\tan \theta?

sinθcosθ\frac{\sin \theta}{\cos \theta}

What is the double angle identity for sin2θ\sin 2\theta?

2sinθcosθ2\sin \theta \cos \theta

What should you do with fractions when simplifying in a trigonometric proof?

Combine into a single fraction

Why is converting all functions to sine and cosine helpful in proofs?

They're fundamental & reveal patterns

What statement concludes a trigonometric proof when both sides match?

LHS = RHS

Which Pythagorean identity equals csc2θ\csc^2 \theta?

1+cot2θ1 + \cot^2 \theta

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