Question

find the value of Cot 780°​

Answer 1

The value of the cot(780°) is 1/√3.

Given:

Find the value of Cot 780°​

Solution:

Formulas used:

=> cot (n × 180° + θ) =  cot θ

Here 780° = 180° × 4 + 90°

=> Cot 780°​ = Cot (180° × 4 + 90°)

Using the formula,  cot (n × 180° + θ) =  cot θ

=> Cot (180° × 4 + 90°) = Cot 90°

As we know cot(θ) = 1 / tan(θ)

=> Cot 90° = 1/tan 90°

=   1 / tan(60°) = 1/√3    [ Since tan(60°) = √3 ]

Therefore,

The value of the cot(780°) is 1/√3.

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