Solve the equation cos^2A = sin^2A + sinA when 0¨¬¡A¡360¨¬. Select all the solutions from the list below.

A. 330 degrees
B. 270 degrees
C. 150 degrees
D. 30 degrees

1 answer

since cos^2 = 1-sin^2,

1-sin^2A - sin^2A - sinA = 0
2sin^2A + sinA - 1 = 0
(2sinA-1)(sinA+1) = 0
sinA = 1/2 or -1
A = 30,150,270
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