Question

What is the correct answer for all? I need help!!

Answer 1

1.

The question requires you to find csc of angle thetha

The formula to apply is;

`co\sec \text{ }\emptyset=(1)/(\sin \emptyset)`

So, First find sin of the angle theta, then its reciprocal

Sin theta= opposite side length / hypotenuse

`\sin \emptyset=\frac{8}{8\sqrt[]{2}}`

`\sin \emptyset=1.4142`
`co\sec \emptyset=(1)/(1.4142)=0.70710678118`

Answer

0.7071

Or

Using surds

`\sin \emptyset=\frac{8}{8\sqrt[]{2}}`

Cancel 8 both in the denominator and numerator to remain with

`\sin \emptyset=\frac{1}{1\sqrt[]{2}}=\frac{1}{\sqrt[]{2}}`

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