Answer:
Before solving the given trigonometric relation change everything to sines and cosines
Step-by-step explanation:
consider the given equation;
[tex]1/sin(2x+9)[/tex]=[tex]1/cos(3x+26)[/tex]
Multiplying the above equation on both sides by [tex]cos(3x+26)sin(2x+9)[/tex] then we get,
[tex]cos(3x+26)=sin(2x+9)[/tex]
By using identity,[tex]cos a=sin(90-a)[/tex] expand above equation we will get,
[tex]sin(90-(3x+26))=sin(2x+9)[/tex]
Then,
[tex]90-3x+26=2x+9[/tex]
[tex]x=11[/tex]
So the required value of the angle is [tex]11[/tex] degree.
