Answer:
[tex]b = 6[/tex]
Step-by-step explanation:
Given
[tex]0<b\le 90[/tex]
[tex]\cos(11b + 2) = \sin(12b - 4)[/tex]
Required
Find b
To solve this, we make use of the following trigonometry rule:
If [tex]\cos(\alpha) = \sin(\beta)[/tex]
Then: [tex]\alpha + \beta = 90[/tex]
So:
[tex]11b + 2 = 12b - 4[/tex]
Collect like terms
[tex]11b - 12b = - 4 - 2[/tex]
[tex]-b = - 6[/tex]
Multiply both sides by -1
[tex]b = 6[/tex]
