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

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Question

Find the general solution of the following equation :

cosθ = `sqrt(3)/(2)`

Sum
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Solution

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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Trigonometric Equations and Their Solutions
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Chapter 3: Trigonometric Functions - Exercise 3.1 [Page 75]

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