# What is the angle between the graph of #f(x)=2sin(x)-1# and the #x#-axis if the graph of #f# intersects the #x#-axis at #x=pi/6#?

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I worked out the tangent line to the graph of #f# at #(pi/6, 0)# and I got #y=2cos(x)*x-pi/6#

I worked out the tangent line to the graph of

##### 1 Answer

Aug 9, 2017

#### Answer:

The angle is

#### Explanation:

We need

Our function is

The derivative with respect to

At the point

The slope of the tangent at

The equation of the tangent is

Therefore,

The angle is

graph{((2sinx-1))(y-(sqrt3)(x-pi/6))=0 [-0.915, 1.786, -0.586, 0.765]}