Question

solve tan (x+75')=2.4562 , 0'≤x≤360'

Answer 1

Ok, to remove a tangent from one side of an equation, you need to take it by inverse tan. As well you need to do it to the otherside also.
\[x+75=\tan^{-1} (2.4562)\]
Then you would subtract the 75 over.
\[x=\tan^{-1}(2.4562) - 75\]

Answer 2

the reflex angle is 67.847'
it is placed in first and third quadrant
x+75= 67.85, 247.85
x=-7.15, 172.85?
but the answer cant be -value

Answer 3

I got -75.8176, and you can indeed get a negative degree. It just means that it went around the unit circle in the opposite direction.

Answer 4

but the answer is 172.8 and 352.8

Answer 5

Apologies, I got -73.8158.

Answer 6

I'm not sure then. Sorry I couldn't be of more help.