Please help me with this calculus problem!

Write the steps to find the equation of the line that is tangent to the graph of y=2sin(x) + sin^2(x) at point (pi/6, 5/4)

i) Is the derivative of the sinusoidal function also periodic?
ii) Does this statement hold true for fifth derivatives?

Question

Please help me with this calculus problem!

Write the steps to find the equation of the line that is tangent to the graph of y=2sin(x) + sin^2(x) at point (pi/6, 5/4)

i)  Is the derivative of the sinusoidal function also periodic?
ii) Does this statement hold true for fifth derivatives?

anonymous · Answer

y-(5/4)=m(x-(pi/6)) Would be the equation of the tangent line with m being the slope. 
You find the slope by taking the derivative and plugging in the x coordinate in which in this case is pi/6

anonymous · Answer

How do you find the derivative?

anonymous · Answer

I mean, what do you find the derivative of?

anonymous · Answer

I have to go, but find the derivative of 2sin(x) + sin^2(x)  and plug in the x coordinate (pi/6) once you find it to find the slope.