Arc Trigonometry

Derivatives and Integrals of Arc Trig

Derivatives of arc trig:

picture 

picture 

picture 

picture 

2.1   Find the equation of the tangent line to picture at  picture
       picture
       picture
       So the point picture
       picture
       picture
       picture
       picture

2.2   Given picture find y`
       picture
       picture

2.3   Given picture find y`
       picture
       picture

2.4   Given picture find y`
       picture
       picture

Integrals of arc trig:

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picture 

picture 

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Note: We don’t need the integrals for cosine or cotangent because the negative can be brought to the front of the integral and the result will be a negative arcsin or arctan.

2.5   Find picture
        picture                    picture
       picture
       picture
       picture

2.6   Find picture
       picture
       picture

2.7   Find picture
       picture                    picture
       picture
       picture
       picture

2.8   Find picture 
       picture
       picture

2.9   Find picture
       picture
       picture                    picture
       picture
       picture
       picture

2.10  Find picture 
       picture                    picture
       picture
       picture
       picture

2.11  Find picture
       picture
       picture
       picture
       picture