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If cos x 25 o sin 45o find the value of x - WAEC Mathematics 2008 Question

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 Option: A

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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