Answer:
b = 4
Step-by-step explanation:
The given expression is
Cos (11b + 2) = Sin (12b - 4)
Since, Sin(θ) = Cos(90 - θ)
Therefore, Cos (11b + 2) = Cos [90 - (12b - 4)]
Where 0 < b ≤ 90°
11b + 2 = 90 - (12b - 4)
11b + 2 = 94 - 12b
11b + 12b + 2 = 94 - 12b + 12b
11b + 12b + 2 - 2 = 94 - 2
23b = 92
[tex]\frac{23b}{23}=\frac{92}{23}[/tex]
b = 4
Therefore, b = 4 will be the answer.
The value of b from the given equation is 4
Given the equation cos(11b + 2) = sin(12b − 4)
This can also be expressed as:
cos(11b + 2) = cos [90-(12b − 4)]
cos(11b + 2) = cos[90-12b+4]
cos(11b + 2) = cos(94-12b)
11b + 2 = 94 - 12b
11b + 12b = 94 - 2
23b = 92
b = 4
Hence the value of b from the given equation is 4
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