1. Find at if
Plugging in we get:
Do you need this explained more?
I'm not sure what method you need to use to solve number 2 of the first page. Are you expected to use Newton's method or something else?
3. a) Prove that
Notice that , and are suplementary (they sum up to equal ), and that . Therefore, and are complementary. This means that and thus that .
With all of that said. Here's where I can start the proof:
Notice that , Therefore: and . However, . Therefore:
If we add these two equations, we get:
Now divide everything by 3 to get:
3. b) Express in the form and find the values of and to 2 decimal places.
Notice that but we want . So we want . Therefore, we need and .
To solve this will take some creativity.
We have:
Let's square both sides of each equation:
Now, we'll use the identity to get:
Setting the two equal, we get:
Using this, we can find :