book Maths Puzzle Numerical Ability

If angles A, B, and C are the sides of a triangle such that sin(A+B)=1/cosC and cos(A+B)=cosC, then show that the triangle is a right triangle.

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Hello,

I need help :)

Here is the problem.

John wants to save for his daughter's college education. He figures he will need to have $30,000 for each of the four years of Multiply. (x^2-x-1)(x^3-x^2+1)