$\sin^2 x$

$\sin x + \cos x$

$\sin^4 x + \cos^4 x$

$\tan x + \sec x$

$\dfrac{1}{\operatorname{cosec}^3 x}$

$\dfrac{\sin x + \sin 3x}{\cos x + \cos 3x}$

$\dfrac{1}{\sec x + \sec^3 x}$

$\dfrac{1}{\sec x + \cot^2 x}$

$\sin 5x$

$\cos 7x$

$\tan 3x$

$\cot \dfrac{x}{2}$

$19\sin\left(\dfrac{\pi}{20}x\right)$

$\operatorname{cosec}\left(\dfrac{2x}{5}\right)$

$\dfrac{1}{2}\sin\left(\dfrac{3x}{2} - \dfrac{\pi}{2}\right)$

$-5 - 3\sec\left(7\pi x + \dfrac{\pi}{4}\right)$

$12 + 10\tan\left(\dfrac{\pi}{30}x\right)$

$6 - 4\cot\left(\dfrac{7x}{4} + \dfrac{\pi}{4}\right)$

$9 + 30\sec\left(\dfrac{x}{15} + \dfrac{2\pi}{15}\right)$