Question

Write in terms of the cofunction of a complementary angle. cos pi/24

Answer 1

Answer:

$sin(\frac{11 \pi}{24} )$

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:

$cos(\theta)=sin(\frac{\pi}{2}-\theta)$

$cot(\theta)=tan(\frac{\pi}{2} - \theta)$

$sec(\theta)=csc(\frac{\pi}{2}-\theta)$

Therefore:

$cos(\frac{\pi}{24} )=sin(\frac{\pi}{2}- \frac{\pi}{24} )\\\\cos(\frac{\pi}{24} )=sin(\frac{11 \pi}{24} )$