If sin (x – 2y) = cos (4y - x), then the value of cot 2y is:
(a) o
(b) 1
(c) 1/root 3
(d) undefined
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3
Answer:
cot 90° = 0
Step-by-step explanation:
sin β = cos(90 - β)
~~~~~~~~
sin(x - 2y) = cos(4y - x)
sin(x - 2y) = cos[90 - (x - 2y)]
cos[90° - (x - 2y)] = cos(4y - x)
90 - x + 2y = 4y - x
2y = 90°
cot 90° = 0
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