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sammy [17]
3 years ago
8

Angle A is in standard position and terminates in quadrant IV. If sec(A) = 4/3 , complete the steps to find cot(A).  Use the ide

ntity _____ to find the value of ___(A).
Mathematics
2 answers:
Anon25 [30]3 years ago
6 0

Answer:

a) tan²(A)= sec²(A)-1

b) tan

Reptile [31]3 years ago
4 0
We know that
tan²(A)+1 = sec²(A)--------> tan²(A)= sec²(A)-1
tan²(A)= (4/3)²-1------> tan²(A)=16/9-1-----> 7/9
tan²(A)=7/9
if the angle A is in the IV quadrant
then
tan (A) is negative
therefore
tan (A)=-√(7/9)-----> tan (A)=-√7/3
so 
cot (A)=1/tan(A)------> cot (A)=-3/√7----> -(3/7)*√7

the answers are
a) the identity is tan²(A)= sec²(A)-1
b) tan (A)=-√7/3
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