26th November 2019

purplemath
15

What is the tangent of 0?

So let's take a closer look at the sine and cosines graphs, keeping in mind that tan(θ) = sin(θ)/cos(θ). The tangent will be zero wherever its numerator (the sine) is zero. This happens at 0, π, 2π, 3π, etc, and at –π, –2π, –3π, etc.

Accordingly, what is the derivative of tan?

(Math | Calculus | Derivatives | Table Of)
sin x = cos x Proofcsc x = -csc x cot x Proof
cos x = - sin x Proofsec x = sec x tan x Proof
tan x = sec2 x Proofcot x = - csc2 x Proof

How do you find the equation of a tangent line?

1) Find the first derivative of f(x). 2) Plug x value of the indicated point into f '(x) to find the slope at x. 3) Plug x value into f(x) to find the y coordinate of the tangent point. 4) Combine the slope from step 2 and point from step 3 using the point-slope formula to find the equation for the tangent line.
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