If cot A = 1, what is the value of A? (2022)

₹0.0

Question: If cot A = 1, what is the value of A? (2022)

Options:

Correct Answer: 45°

Exam Year: 2022

Solution:

Cotangent is 1 when the angle A is 45°, as cot A = cos A/sin A = 1 when both are equal.

If cot A = 1, what is the value of A? (2022)

If cot A = 1, what is the value of A? (2022)

Step 1: Understand what cotangent means. Cotangent (cot) is the ratio of the adjacent side to the opposite side in a right triangle.
Step 2: Recall the definition of cotangent: cot A = cos A / sin A.
Step 3: Set up the equation: If cot A = 1, then cos A / sin A = 1.
Step 4: This means that cos A and sin A must be equal because 1 divided by 1 is 1.
Step 5: The angles where cos A and sin A are equal are 45° (and also 225°, but we usually consider the first quadrant for basic angles).
Step 6: Therefore, if cot A = 1, then A = 45°.

Cotangent Function – The cotangent function is the reciprocal of the tangent function and is defined as the ratio of the adjacent side to the opposite side in a right triangle.
Angle Values – Understanding specific angle values where trigonometric functions yield certain results, such as cot A = 1 at A = 45°.