On Inverse Trigonometric Functions

[Moonflower]

Hi, can you help me solve these three questions? Please show each step. Thanks.

1. solve for x: arcsin(6x-pi)=1/8
2. Find an equation of the tangent line to the graph of y = arcsin (6x) at the point ((1/(6sqrt2),(pi/4))
3. Find the indefinite integral of 1/sqrt(81-100x^2)

 

[System]

1. Start by taking the sine of both sides.
2. Its a well-known problem, start by differentiate the function. You are supposed to know how to complete it.
3. Note that 100x^2=(10x)^2 , think about the trigonometric substitutions.



S