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Created on: 2012-02-27

A sample problem solved by Quickmath web math solver

solving x^2-8*x+15 = 0 equation | a quotient. x/x-7+(-98)/x^2-49 problem solved

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Expression

5/16-15/32*cos(2*x)+3/16*cos(4*x)+(-1)/32*cos(6*x)

  1. A sum of 4 terms. The 1st term of the sum is a fraction: the numerator of the fraction is five. The denominator of the fraction is sixteen. The 2nd term of the sum is equal to a negative product that contains 2 factors. The 1st factor of the product is a fraction: the numerator of the fraction is fifteen. The denominator of the fraction is thirty two. The 2nd factor of the product is cosine of a product that contains 2 factors. The 1st factor of the product is two. The 2nd factor of the product is equal to x. The 3rd term of the sum is equal to a product comprising 2 factors. The 1st factor of the product is a rational expression: the top of the rational expression is three. The bottom of the rational expression is sixteen. The 2nd factor of the product is cosine of a product containing 2 factors. The 1st factor of the product is four. The 2nd factor of the product is equal to x. The 4th term of the sum is a product of 2 factors. The 1st factor of the product is equal to a rational expression: the top of the rational expression is negative one. The bottom of the rational expression is thirty two. The 2nd factor of the product is cosine of a product containing 2 factors. The 1st factor of the product is equal to six. The 2nd factor of the product is equal to x.
  2. five divided by sixteen plus negative fifteen over thirty two times cosine of two times x plus three fraction line sixteen times cosine of four times x plus negative one fraction line thirty two multiplied by cosine of six times x.

Result

-cos(6*x)/32+3*cos(4*x)/16-15*cos(2*x)/32+5/16

  1. A sum comprising 4 terms. The 1st term of the sum is equal to a fraction: the numerator of the fraction is negative cosine of a product consisting of 2 factors. The 1st factor of the product is equal to six. The 2nd factor of the product is x. The denominator of the fraction is thirty two. The 2nd term of the sum is equal to a quotient: dividend of the quotient is a product comprising 2 factors. The 1st factor of the product is equal to three. The 2nd factor of the product is equal to cosine of a product of 2 factors. The 1st factor of the product is equal to four. The 2nd factor of the product is x. Divisor of the quotient is sixteen. The 3rd term of the sum is a negative rational expression: the top of the rational expression is a product that comprises 2 factors. The 1st factor of the product is equal to fifteen. The 2nd factor of the product is cosine of a product that contains 2 factors. The 1st factor of the product is equal to two. The 2nd factor of the product is x. The bottom of the rational expression is thirty two. The 4th term of the sum is equal to a rational expression: the numerator of the rational expression is five. The denominator of the rational expression is sixteen.
  2. negative cosine of six times x over thirty two plus three multiplied by cosine of four multiplied by x fraction line sixteen plus negative fifteen multiplied by cosine of two multiplied by x fraction line thirty two plus five divided by sixteen;