book Maths Puzzle Numerical Ability

Simplify the following as much as possible leaved the answer in exact form:
sin 225 degrees ctn 300 degrees + sec 150 degrees cos 315 degrees

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book Other Question
1) Express loga X2 + 2 loga Square root of X as a single logarithm. Simplify if possible.

2) Given logb 2=0.387 and logb 5=0.898 find log square root of 20

3) solve 2x+3
5 =125

4)logx +log(x-2)=1 write down the nearest whole number value of x for which xsquared+2x=30