Problems-I: exact value of cos[arctan(-3) + sin^(-1)(sqrt[3]/2)]

[pwndogmaster1]

Here's a few problems you can give a shot at.
1.
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[Deleted member 4993]

Here's a few problems you can give a shot at.
1.
2.

3.
4.

Please post 1 problem in one thread!

What are your thoughts?

If you are stuck at the beginning tell us and we'll start with the definitions.

Please share your work with us ... even if you know it is wrong

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[stapel]

exact value of cos[arctan(-3) + sin^(-1)(sqrt[3]/2)]

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

For instance, you drew the right triangle for angle A such that tan(A) = -3, labelled the appropriate sides, found the third side using Pythagoras, and then did the same thing with angle B such that sin(B) = sqrt[3]/2. You applied the trig identity for the cosine of an angle sum. And... then what?

Please be complete. Thank you!