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Find the general solution of the following equation: tan θ = 13 - Mathematics and Statistics

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प्रश्न

Find the general solution of the following equation:

tan θ = `(1)/(sqrt(3))`

बेरीज

उत्तर

The general solution of tan θ = tan α is 
θ = nπ + α, n ∈ Z

Now,

`tan θ  = 1/(sqrt(3)) = tan  π/6     ...[∵ tan  π/6 = 1/(sqrt(3))]`
∴ the required general solution is

θ = nπ + `pi/(6)`, n ∈ Z.

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Trigonometric Equations and Their Solutions
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometric Functions - Exercise 3.1 [पृष्ठ ७५]

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