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 identi

Question

3 years ago

13

ty to find the value of (A).

2 answers:

Anna71 [15] · Answer 1 · 2022-08-31T18:37:53+03:00

6 0

Answer

1A=B 1B=tan 2=B 3=A

Step-by-step explanation:

oksano4ka [1.4K] · Answer 2 · 2022-08-31T16:43:01+03:00

If sec(A) = 4/3, then the value cot(A) is $cot(A)=\frac{3\sqrt{7}}{7}$

The given trigonometric identity is:

$sec(A)=\frac{4}{3}$ .........................(*)

Note that:

$sec(A)=\frac{Hypotenuse}{Adjacent}$ .........................(**)

Comparing (*) and (**)

Hypotenuse = 4

Adjacent = 3

Find the opposite using the Pythagoras theorem

Hypotenuse² = Opposite² + Adjacent²

4² = Opposite² + 3²

Opposite² = 4² - 3²

Opposite² = 16 - 9

Opposite² = 7

Opposite = √7

cot(A) = Adjacent/Opposite

cot(A) = 3/√7

Rationalize the expression

$cot(A)=\frac{3\sqrt{7}}{7}$