Question

Find the value of x and tan x in the given trigonometric equation:
sin 2x= cos(3x+10)

Answer 1

x = 16°, tan x = 0.3

Explanation:

`sin \: 2x = cos \: (3x + 10) \\ cos(90 - 2x) = cos \: (3x + 10) \\ 90 - 2x = 3x + 10 \\ 90 - 10 = 3x + 2x \\ 80 = 5x \\ x = (80)/(5) \\ \huge \red{ \boxed{x = 16 \degree }}\\ \\ tan \: x = tan \: 16 \degree \\ = 0.2867453858 \\ = 0.3`