Answer:
See steps below
Step-by-step explanation:
1. Plot the point (5,-2). This point lies in the fourth quadrant.
2. Draw a line from the origin to the point and trace to the axes to form a right triangle.
3. Use Pythagoras Theorem to find the hypotenuse.
4. Use the mnemonics SOH CAH TOA to find the values of sine, cosine and tangent of the angle respectively and then find the reciprocals, co-secant,secant and cotangent.
NB: In the fourth quadrant, only the cosine and its reciprocal are positive.
Parameterize the triangle
by the vector-valued function
with
where
and
. Then the integral becomes