Given f(x) = sin x and g(x) = cos x, find f(g(pi/2)) = 0. show all steps.
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The equation of the line in slope-intercept form is .
- y=mx +c, where m is the slope and c is the y-intercept
- Find the slope
- Substitute value of the slope into the equation
- Substitute a pair of coordinates
- Solve for c
- Rewrite equation with value of m and c
The first step is to calculate the slope of the line.
Slope
Substitute the value of m into y= mx +c:
Next, substitute a pair of coordinates that the line passes through. Here, I will substitute (-3, 0) into the equation.
When x= -3, y= 0,
Find the value of c:
Substitute the value of c into the equation:
Thus, the equation of the line is .
To learn more about slope-intercept form, check out: brainly.com/question/24436844.
