exam Maths Puzzle Numerical Ability

hi, can someone help me find the following thank you so much
sin(5pi/3) I think the answer is -square root3/2
cos(7pi/4) I think the answer is square root2/2
tan(5pi/6)
cos(-5

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exam Other Question

Larry and Louise decorate and sell suvenir mugs and pens. Larry does artwork; Louise does the glazing and packaging. Larry can spend no more than 4 hours a week. Larry spends 50 mi Could you please determine whether the abosolute value inequality is equivalent to the inequality following it?

|x-3|>0,x-3>0

Also could you please give details?
Thank you very much.