Answer:
Part 1) or
Part 2)
Part 3)
Step-by-step explanation:
we know that
The point (-6,-5) lies on the III Quadrant
so
sin(theta) is negative
csc(theta) is negative
cot(theta) is positive
Part 1) Find the sine of angle theta
we know that
The function sine is equal to divide the opposite side to the angle theta by the hypotenuse
we have
Applying the Pythagoras Theorem
substitute
-----> the hypotenuse
substitute
Simplify
Remember that the sin(theta) is negative
so
Part 2) Find the cosecant of angle theta
we know that
The function cosecant is equal to divide the hypotenuse by the opposite side to the angle theta
we have
so
Part 3) Find the cotangent of angle theta
we know that
The function cotangent is equal to divide the adjacent side to the angle theta by the opposite side to the angle theta
we have
substitute