book Maths Puzzle Numerical Ability

Solve each equation for all values of theta. the problem is sin(theta/2)
plus cosine(theta/2)= sqrt(2)

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book Other Question

simplify the following:

X+1/X * X^3/(X+1)^2 If I invest $2500 per year for 40 years at 6.8% compounded continuously, what would my final balance be?