Trigonometry and identities quiz: O-Level Additional Mathematics (SEAB 4049) quiz

$\sin^2\theta - \cos^2\theta = 1$

$\sin^2\theta + \cos^2\theta = 1$

$\sin\theta + \cos\theta = 1$

$\tan^2\theta + 1 = \sin^2\theta$

$\dfrac{\cos\theta}{\sin\theta}$

$\dfrac{\sin\theta}{\cos\theta}$

$\sin\theta\cos\theta$

$\dfrac{1}{\sin\theta}$

$\dfrac{\sqrt{2}}{2}$

$\dfrac{\sqrt{3}}{2}$

$1$

$\dfrac{1}{2}$

First and second

First and fourth

Second and third

Third and fourth

$\theta = 30^\circ$ only

$\theta = 30^\circ$ and $150^\circ$

$\theta = 30^\circ$ and $210^\circ$

$\theta = 60^\circ$ and $120^\circ$

$2\sin A$

$\sin^2 A - \cos^2 A$

$2\sin A\cos A$

$\sin A\cos A$

$1 + 2\sin^2 A$

$2\sin A\cos A$

$\cos^2 A + \sin^2 A$

$\cos^2 A - \sin^2 A$

$\sin A\cos B + \cos A\sin B$

$\sin A\cos B - \cos A\sin B$

$\cos A\cos B - \sin A\sin B$

$\sin A + \sin B$

$\sqrt{a^2 + b^2}$

$a + b$

$a^2 + b^2$

$\sqrt{a^2 - b^2}$

$R^2$

$R$

$1$

$2R$

$7$

$\sqrt{7}$

$5$

$25$

Move terms across the equals sign as in solving

Substitute a numerical angle to prove it generally

Square both sides immediately

Work on one side and transform it into the other

$\cos^2\theta = 1 - \sin^2\theta$

$\cos^2\theta = 1 + \sin^2\theta$

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

$\tan\theta = \dfrac{\sin\theta}{\cos\theta}$