Based on the given triangle, the cosine of the 60 degree angle is:

Hence, the value of cosine of the 60 degree angle is: .

Step-by-step explanation:

We are asked to find the value of cosine of the 60 degree angle of the triangle.

We know that the cosine function  is one of the basic functions encountered in trigonometry."the cosine of an angle in a right‐angle triangle is the ratio of the length of the adjacent leg to the length of the hypotenuse."

Now we know directly that the

and this value is also equal to

since, we know that

Hence, the value of cosine of the 60 degree angle is: .

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0