1 answer:
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To get the equation of tangent, we need a point on it and its slope.
we already have (x1,y1) = (pi/3,2) on the tangent line.
To get the slope of tangent,
m = derivative of y at the given point.
y = sec x
y' = sec x tan x
at x = pi/3,
y' = sec pi/3 tan pi/3
y'= 2
so the slope of tangent is 2
equation will be
y -y1 = m (x-x1)
y - 2 = 2 (x- pi/3)
Thats your equation of tangent.
you can simplify if you want.
we already have (x1,y1) = (pi/3,2) on the tangent line.
To get the slope of tangent,
m = derivative of y at the given point.
y = sec x
y' = sec x tan x
at x = pi/3,
y' = sec pi/3 tan pi/3
y'= 2
so the slope of tangent is 2
equation will be
y -y1 = m (x-x1)
y - 2 = 2
Thats your equation of tangent.
you can simplify if you want.
Answer: 3
Step-by-step explanation:
The formula for finding equation of a line in slope - intercept form is given as :
Where m is the slope and c is the y - intercept.
Equation given :
, comparing with
,
Therefore , slope = 3