Answer:
- sin(A) = (7√58)/58
- cos(A) = (-3√58)/58
- tan(A) = -7/3
- csc(A) = (√58)/7
- sec(A) = (-√58)/3
- cot(A) = -3/7
Step-by-step explanation:
The distance from the origin to the point is given by the distance formula:
d = √((-3)² +7²) = √58
The three primary functions are ...
sin(A) = y/d = (7√58)/58
cos(A) = x/d = (-3√58)/58
tan(A) = y/x = -7/3
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The three secondary functions are the inverses of these:
csc(A) = 1/sin(A) = (√58)/7
sec(A) = 1/cos(A) = (-√58)/3
cot(A) = 1/tan(A) = -3/7
