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Cot θ. tan θ =______

Question

Cot θ. tan θ =______

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Solution

The product of cotangent and tangent of the same angle is 1.

Here's why:

Cotangent (cot) is the reciprocal of tangent (tan). That is, cot θ = 1/tan θ.

So, if you multiply cot θ and tan θ, you get (1/tan θ) * tan θ.

The tan θ in the numerator and denominator cancel out, leaving you with 1.

So, cot θ * tan θ = 1.

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