Question

Drag each tile to the correct box. Arrange the angles in increasing order of their cosines.

Answer 1

Answer:

$\frac{3\pi}{4}$

Step-by-step explanation:

we are given different angles

we can see that each angles have different denominators

so, firstly we will find common denominators

denominators are 1 , 2,3,4,6

so, LCD will be 12

now, we will make denominator of all terms 12

$\frac{3\pi}{4} =\frac{3\pi\times 3}{4\times 3}=\frac{9\pi}{12}$

$\pi =\frac{\pi\times 12}{1\times 12}=\frac{12\pi}{12}$

$\frac{7\pi}{6} =\frac{7\pi\times 2}{6\times 2}=\frac{14\pi}{12}$

$\frac{5\pi}{3} =\frac{5\pi\times 4}{3\times 4}=\frac{20\pi}{12}$

$\frac{7\pi}{4} =\frac{7\pi\times 3}{4\times 3}=\frac{21\pi}{12}$

$\frac{4\pi}{3} =\frac{4\pi\times 4}{3\times 4}=\frac{16\pi}{12}$

$\frac{3\pi}{2} =\frac{3\pi\times 6}{2\times 6}=\frac{18\pi}{12}$

$2\pi =\frac{2\pi\times 12}{1\times 12}=\frac{24\pi}{12}$

we can see that denominators are same

so, we can arrange it according to numerators as

$\frac{9\pi}{12}$

we can replace values

and we get order as

$\frac{3\pi}{4}$

Answer 2

Answer: I took the test and got it right :)