Trig Functions (rad)
Interactive practice questions
Find the exact value of the following trigonometric ratios.
a
$\sin\frac{2\pi}{3}$sin2π3
b
$\cos\frac{2\pi}{3}$cos2π3
c
$\tan\frac{2\pi}{3}$tan2π3
d
$\csc\frac{2\pi}{3}$csc2π3
e
$\sec\frac{2\pi}{3}$sec2π3
f
$\cot\frac{2\pi}{3}$cot2π3
Easy
3min
By first rewriting each ratio in terms of the related acute angle, evaluate the following, leaving your answer in fully simplified exact form.
$\frac{\sin\left(\frac{2\pi}{3}\right)+\cos\left(\frac{5\pi}{6}\right)-\tan\left(\frac{7\pi}{4}\right)}{\cos\left(\frac{4\pi}{3}\right)}$sin(2π3)+cos(5π6)−tan(7π4)cos(4π3)
Easy
6min
Find the exact value of $\sin\frac{5\pi}{6}$sin5π6.
Easy
< 1min
Find the exact value of $\cos\frac{3\pi}{4}$cos3π4.
Easy
< 1min
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