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 identity __ (choices are sin^2(A) + cos^2(A) = 1, tan^2(A) + 1 = sec^2(A), 1 + cot^2(A) = csc^2(A) ) to find the value of (A).

A branch of mathematics called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided form can be decomposed into a group of triangles, trigonometry may be found across all of geometry.

Given

secA = 4/3

sec²A = 16/9

Use the identity tan²A +1 = sec²A

tan²A = sec²A - 1 = 16/9 - 1 = 7/9

cot²A = 1/tan²A = 9/7

We are in the fourth quadrant, so the cotangent is negative.

cotA = -√(9/7) = -3/√7 = -(3√7/7)

tan A = 1/cotA = -√7/3

A = -48.59° = 311.41°

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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 identity ____ (choices are sin^2(A) + cos^2(A) = 1, tan^2(A) + 1 = sec^2(A), 1 + cot^2(A) = csc^2(A) ) to find the value of __(A).

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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 identity __ (choices are sin^2(A) + cos^2(A) = 1, tan^2(A) + 1 = sec^2(A), 1 + cot^2(A) = csc^2(A) ) to find the value of (A).