If cos(x + 40)° = 0.0872, what is the value of x?

MATHEMATICS
WAEC 2012

If cos(x + 40)° = 0.0872, what is the value of x?

  • A. 85°
  • B. 75°
  • C. 65°
  • D. 45°

Correct Answer: D. 45°

Explanation

cos(x + 40)o = 0.0872

x + 40 = cos-10.0872

x + 40o = 84.99o

x = 84.99o - 40o

x = 44.99

x = 45o



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