Question

The root of the equation f(x) = 0 is found by using the Secant method. The initial guesses are x-1 = 3.6 and x0 = 1.5. Given that f(3.6) = 7.1 and f(1.5) = 3.9, the angle the secant line makes with the x axis is ___ (Report your answer in in degrees ; keep 4 decimal places.)

Answer 1

Angle made by secant line equals
`56.7251^(o)`

Explanation:

Solpe of a line joining points
`(x_(1),y_(1)),(x_(2),y_(2))` is given by

`tan(\theta)=(y_(2)-y_(1))/(x_(2)-x_(1))`

where
`y_(i)=f(x_(i))`

Applying values we get

`tan(\theta)=(7.1-3.9)/(3.6-1.5)\\\\\theta =tan^(-1)(32)/(21)\\\\\theta=56.7251^(o)`