Question Type 4: Substituting simple values into equations to find exact answers Exercises

Evaluate $\sin\left(\frac{\pi}{4}\right) + \cos\left(\frac{\pi}{3}\right)$.

Evaluate $\tan \left( \frac{\pi}{6} \right) - \sin \left( \frac{\pi}{3} \right)$.

Given $f(x)=2x^2-3x+1$, find $f(2)$.

Evaluate $\sin\left(\frac{3\pi}{4}\right)\,\cos\left(\frac{\pi}{6}\right)$.

Given $h(\theta) = 5\sin\theta + 3\cos\theta$, find $h\left(\frac{\pi}{2}\right)$.

Evaluate $\tan\bigl(\pi/4\bigr)\cot\bigl(\pi/6\bigr)$.

Given $g(t)=t^3-4t$, find $g(-1)$.

Evaluate $\cos\left(\frac{5\pi}{6}\right) \tan\left(\frac{\pi}{4}\right)$.

Evaluate $\frac{\sin\bigl(\pi/3\bigr)}{\tan\bigl(\pi/6\bigr)}$.

Evaluate $\sec\left(\frac{\pi}{3}\right) + \csc\left(\frac{\pi}{6}\right)$.

Evaluate $\sin^2\left(\frac{\pi}{6}\right) + \cos^2\left(\frac{\pi}{3}\right)$.

Evaluate $\sin\left(\frac{2\pi}{3}\right) - \cos\left(\frac{\pi}{2}\right)$.