Evaluate the expression. 50 points!!

C

Step-by-step explanation:

If you notice, this is what the tangent-difference identity resembles. The tangent-difference identity is:

We have the expression:

So, our α is π/7 and our β is π/8. Therefore:

Simplify:

Subtract:

So, our answer is C.

And we're done!

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."