SOLVE FOR X sin(8x−18)=cos(5x+4)

Mathematics · High School · Tue Nov 03 2020

Answered on

we have, 

          sin(8x−18)=cos(5x+4)

 

we know , sin(a) = cos(b)

when a + b = 90°

here, a = 8x-18, b = 5x+4

So, 8x - 18 + 5x + 4 = 90°

          13x - 14 = 90

                 13x = 90 + 14

                   13x = 104

                     x = 104/13

                    x = 8

 

Hence, value of x is 8.