WAEC - Mathematics (2008 - No. 19)

If cos (x + 25)o = sin 45o, find the value of x
20
30
45
60

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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