Question : tan of complementary of an angle is the same as which of the angles?
Option 1: sin of that angle
Option 2: cot of that angle
Option 3: cos of that angle
Option 4: cosec of that angle
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Correct Answer: cot of that angle
Solution :
The tangent of the complementary angle is equal to the cotangent of the original angle. Mathematically, this can be expressed as:
$\boxed{\tan (90° - θ) = \cot θ}$
So, if we have an angle $θ$, then the tangent of its complementary angle $(90° - θ)$ is equal to the cotangent of $θ$. This relationship is a fundamental property in trigonometry.
Hence, the correct answer is cot of that angle.
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