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If cos x = -0.7133, find the values of x between 0\(^o\) and 360\(^o\) 

Further Mathematics
WAEC 2020

If cos x = -0.7133, find the values of x between 0\(^o\) and 360\(^o\) 

  • A. 44.5\(^o\) , 224.5\(^o\) 
  • B. 123.5\(^o\) , 190.5\(^o\) 
  • C. 135.5\(^o\) , 213.5\(^o\) 
  • D. 135.5\(^o\) , 224.5\(^o\) 
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Correct Answer: Option D
Explanation

cos x = -0.7133

x = cos \(^{-1}\)(0.7133) 

= 44.496\(^o\) 

x = 180 - 44.495\(^o\) 

x = 135.5\(^o\)

and x = 180\(^o\)  + 44.495\(^o\) 

= 224.5\(^o\)


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