SOLUTION: Which value of x satisfies cos(3.14/2+x)=-1 ? A. (3.14/4) B. (3.14/2) C. 3.14 D. 2(3.14)

Algebra ->  Trigonometry-basics -> SOLUTION: Which value of x satisfies cos(3.14/2+x)=-1 ? A. (3.14/4) B. (3.14/2) C. 3.14 D. 2(3.14)      Log On


   

Question 941283: Which value of x satisfies cos(3.14/2+x)=-1 ?
A. (3.14/4)
B. (3.14/2)
C. 3.14
D. 2(3.14)
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
assume that the angular measures are in radians:
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assume that 3.14 in the given equation stands for pi:
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cos( (3.14/2) + x ) = -1
acos( cos( (3.14/2) + x ) ) = acos( -1 )
(3.14/2) + x = acos( -1 )
x = acos( -1 ) - (3.14/2)
x = pi - pi/2
x = 2pi/2 - pi/2
x = pi/2
x = 3.14/2
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answer:
B. (3.14/2)
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