Question

find the principal sol of the eq tan x = -1/✓3​

Answer 1

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Answer 2

Given: Equation tan x = 1 / √3

To find: The principle solution of equation.

Solution:

Now we know that tan x takes value 1/√3 when x is equal to π/6.

Thus,

            using the identity (tan (π-x) = -tanx)

            tan (π - π/6) = -tan π/6      

            = -1/√3.

Again using same identity, we get:

Also, tan(2π -π/6) = - tan π/6

            = - 1/√3

So, tan 5π/6 = tan 11π/6 = -1/√3

So therefore, the principal solutions are 5π/6 and  11π/6 respectively.

Answer:

           So, the principal solutions are 5π/6 and  11π/6.

Step-by-step explanation:

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