Question 1: Find the value of cos¯¹ (cos 13π/6)
Class 12 - Math - Inverse Trigonometric Functions
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★ INVERSE TRIGONOMETRIC FUNCTIONS ★
First of all , while dealing with Cos , sec , and cot , we should must have a check on Principal value branch
Principal value branch of Cos^-1 is [ 0 , π]
We know that , Cos ( 2π + θ)= cosθ
Cos^-1 ( Cos13π/6) = Cos^-1[ Cos ( 2π + π/6 ) ]
Cos^-1 ( Cos π/6 )
→→→ π/6
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First of all , while dealing with Cos , sec , and cot , we should must have a check on Principal value branch
Principal value branch of Cos^-1 is [ 0 , π]
We know that , Cos ( 2π + θ)= cosθ
Cos^-1 ( Cos13π/6) = Cos^-1[ Cos ( 2π + π/6 ) ]
Cos^-1 ( Cos π/6 )
→→→ π/6
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