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

Question

sammy [17]

4 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] · Answer 1 · 2021-12-20T08:21:22+03:00

Anon25 [30]4 years ago

6 0

Answer:

a) tan²(A)= sec²(A)-1

b) tan

Reptile [31] · Answer 2 · 2021-12-20T06:06:54+03:00

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