Answer:
[tex]x=17.5^o[/tex]
Step-by-step explanation:
The question is
Find the value of x
we know that
If sin(A)=cos(B)
then
angle A and angle B are complementary angles
so
[tex]A+B=90^o[/tex]
In this problem
[tex]sin(x)=cos(3x+20)[/tex]
so
[tex]x^o+(3x+20)^o=90^o[/tex]
solve for
[tex]4x+20=90[/tex]
[tex]4x=90-20[/tex]
[tex]4x=70[/tex]
[tex]x=17.5^o[/tex]
