MATHS trigonometry

Question

solve the following trigonometric equation for the domain [-180, 360]

1. 2sinx = 5cosx

Answer 1

sinx/cosx = 5/2

tanx = 2.5

x = about 68.2 degrees

or 180+68.2 = 248.2 degrees

or -180+68.2 = -111.8 degrees

for all 3 solutions between -180 and 360

2sinx = 5cosx

2sin68.2 = 5cos68.2

2(.93) = 5(.37)

1.86 = 1.85 rounding approximation