What is the polar form of <mstyle displaystyle="true"> ( - 1 ,

Roland Waters

Roland Waters

Answered question

2022-06-22

What is the polar form of ( - 1 , 12 ) ?

Answer & Explanation

hildiadau0o

hildiadau0o

Beginner2022-06-23Added 21 answers

Step 1
x = - 1 , y = 12 ; r = x 2 + y 2 = 145
θ satisfying both cos θ = x r = - 1 145 and sin θ = y r = 12 145 is 94 , 76
in the second quadrant in which cosine is negative and sine is positive.
sin ( 180 o - θ ) = sin θ .
Calculator display for sin - 1 ( 12 145 ) is 85.24 o , nearly.
Choose θ = 180 o - 85.24 o = 94.76 o = cos - 1 ( - 1 145 )

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