Question

find all the angle between 0 and 720 degree where tangent is

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Answer 1

The angles between 0and720 whose tangent of angles is -

150°,330°,510°690° ...

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Answer 2

Given:

The value of tangent is -1/√3

To find:

Find all the angle between 0 and 720 degree where tangent is -1/√3

Solution:

From given, we have,

The value of tangent is -1/√3

tan θ = -1/√3

tan θ = tan (π - π/6)

θ = (π - π/6) ⇒ θ = 5π/6

∴ tan θ = tan 5π/6

The general solution is,

θ = nπ + 5π/6

substitute n = 0, 1, 2, 3, 4 , ............

θ = 5π/6, 11π/6

Therefore, all the angle between 0 and 720 degree where tangent is -1/√3 is 5π/6 and 11π/6.