Question

$$\frac{\cos\ 45^{\circ}}{\sec\ 30^{\circ}+co\sec\ 30^{\circ}}$$

Answer

(e*c*g*os(45*d))/((1+c*o)*sec(30*de*g))

Solution


Regroup terms.
\[\frac{ecgos(45d)}{\sec{(30deg)}+co\sec{(30deg)}}\]
Factor out the common term \(\sec{(30deg)}\).
\[\frac{ecgos(45d)}{\sec{(30deg)}(1+co)}\]
Regroup terms.
\[\frac{ecgos(45d)}{(1+co)\sec{(30deg)}}\]