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

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