book Maths Puzzle Numerical Ability

find the exact value of cos 105 degrees WITHOUT USING TABLES OR A CALCULATOR. be sure to show your work.

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book Other Question

I am having poblems with this one also. I need to know what steps I am missing and how to check the problem. Could I get some help with this problem:

-7.5xs-0.9=5.7x+4.5 solve
e^3x+1)^2/e^4=e^10x