exam Maths Puzzle Numerical Ability

Same thing with this one can someone find the exact value of tan 15 degree without using tables or a calculator. please show work.

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6.Suppose you invest $1500 in equipment to put pics on T-shirts.You buy each T-shirt for $3..After you have placed the pic on a shirt,you sell it for $20.How many T-shirts must you Logarithms:
a) Using a calculator, find log 1000 where log means log to the base of 10.

b) Most calculators have 2 different logs on them: log, which is base 10, and ln, which