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\(^o\)

Correct Answer: D. 135.5\(^o\) , 224.5\(^o\)

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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