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If cos (x + 25)o = sin 45o, find the value of x

Mathematics
WAEC 2008

If cos (x + 25)o = sin 45o, find the value of x
  • A. 20
  • B. 30
  • C. 45
  • D. 60
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Correct Answer: Option A
Explanation
cos(x + 25o) = sin 45o

using cos \(\theta\) = sin(90 - \(\theta\))

cos(x + 25o) = cos(90 - 45)

cos(x + 25o) = cos 45

x + 25 = 45

x = 45 - 25

x = 20o

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