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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))`

योग

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometric Functions - Exercise 3.1 [पृष्ठ ७५]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
अध्याय 3 Trigonometric Functions
Exercise 3.1 | Q 3.3 | पृष्ठ ७५

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