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10 grade maths

How do you find the value of cot 1?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To find the value of cot(1), where the angle is measured in radians, follow these steps:

Understanding cotangent: The cotangent of an angle is the reciprocal of the tangent function. Mathematically:

cot(θ) = 1/tan(θ)

Value of cot(1): Here, the angle is 1 radian. So, to find cot(1), we need to first calculate the tangent of 1 radian, and then take the reciprocal.

cot(1) = 1/tan(1)

Approximate value of tan(1): Using a calculator or a scientific tool, we find that tan(1) (with 1 being in radians) is approximately:

tan(1) ≈ 1.557

Calculate cot(1): Now, take the reciprocal of tan(1):

cot(1) ≈ 1/1.557 ≈ 0.641

So, the value of cot(1) is approximately 0.641.

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