find the principal value of
cos inverse (-1/2)
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Answered by
46
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toseeftaak:
show principal value not quadrant
I have already found out yhe principal value. It is 2pi/3
oh sry i hadn't seen ur image fully
Great answer :)
No problem. I am glad you got the answer. :-)
Answered by
26
Answer:
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 ).
Hope it helped !!
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