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Find the general solution of the following equation : cosθ = 32 - Mathematics and Statistics

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प्रश्न

Find the general solution of the following equation :

cosθ = `sqrt(3)/(2)`

योग
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उत्तर

The general solution of cos θ = cos α is 
θ = 2nπ ± α, n ∈ Z

Now,

`cos θ  = (sqrt(3))/(2) = cos  (pi)/(6)     ...[∵ cos  pi/(6) = (sqrt(3))/(2)]`
∴ the required general solution is

θ = 2nπ ± `pi/(6)`, n ∈ Z.

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अध्याय 3: Trigonometric Functions - Exercise 3.1 [पृष्ठ ७५]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 3 Trigonometric Functions
Exercise 3.1 | Q 3.2 | पृष्ठ ७५

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