What is principal value of
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Cos ( 2π/3 )
Step-by-step explanation:
Range = ( 0, 180 ) = ( 0, π )
We know that Cos function is negative only in 2 quadrant in its range.
Hence, let us assume A = Cos⁻¹ ( -1/2 )
⇒ Cos A = -1/2
We know that, Cos 60 is only 1/2 in first quadrant. Hence in second quadrant it would be ( 180 - 60 ), which is 120°
120 is 2π/3.
Hence Principal Value of Cos⁻¹ ( -1/2 ) is ( 2π/3 ).
may it helps u....
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Answer:
cos (2π/3 ) is the answer
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