Further Trigonometric Equations (Edexcel A-Level Mathematics): Flashcards

Identify functions and involved identities like sine and cosine.

Use sum/difference identities to expand or factor them.

$\sin 2\theta = 2\sin \theta \cos \theta$.

Utilize product-to-sum identities to simplify products.

Rearrange the equation to isolate the function on one side.

Used for integrals involving square roots or quadratics.

$\theta = \theta_0 + 360°n$ or $\theta = 180° - \theta_0 + 360°n$.

Substitute back to verify solutions satisfy original equation.

$\sin(A \pm B) = \sin A \cos B \pm \cos A \sin B$.

$R \cos(\theta \pm \alpha) = a \cos \theta + b \sin \theta$, with $R$ defined.