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If sin 3y cos 2y and 0o leq 90o find the value ... - WAEC Mathematics 2010 Question

If sin 3y = cos 2y and 0o \(\leq\) 90o, find the value of y
A
18o
B
36o
C
54o
D
90o
correct option: a

sin 3y = cos 2y, but sin (\theta) = cos(90 - (\theta))

sin 3y = cos(90 - 3y)

cos(90 - 3y) = cos 2y

90 - 3y = 2y

5y = 90

y = (\frac{90}{5})

y = 18o

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