1.
The question requires you to find csc of angle thetha
The formula to apply is;
[tex]co\sec \text{ }\emptyset=\frac{1}{\sin \emptyset}[/tex]
So, First find sin of the angle theta, then its reciprocal
Sin theta= opposite side length / hypotenuse
[tex]\sin \emptyset=\frac{8}{8\sqrt[]{2}}[/tex]
[tex]\sin \emptyset=1.4142[/tex][tex]co\sec \emptyset=\frac{1}{1.4142}=0.70710678118[/tex]
Answer
0.7071
Or
Using surds
[tex]\sin \emptyset=\frac{8}{8\sqrt[]{2}}[/tex]
Cancel 8 both in the denominator and numerator to remain with
[tex]\sin \emptyset=\frac{1}{1\sqrt[]{2}}=\frac{1}{\sqrt[]{2}}[/tex]
T
