Answer:
[tex]sin(\frac{11 \pi}{24} )[/tex]
Step-by-step explanation:
The trigonometric functions of an angle are equal, in absolute value and in sign, to the cofunctions of the default complementary angle.
The elemental cofunctions are given by:
[tex]cos(\theta)=sin(\frac{\pi}{2}-\theta)[/tex]
[tex]cot(\theta)=tan(\frac{\pi}{2} - \theta)[/tex]
[tex]sec(\theta)=csc(\frac{\pi}{2}-\theta)[/tex]
Therefore:
[tex]cos(\frac{\pi}{24} )=sin(\frac{\pi}{2}- \frac{\pi}{24} )\\\\cos(\frac{\pi}{24} )=sin(\frac{11 \pi}{24} )[/tex]
