it is little confusing the way you posted your question. but if you are talking about what i think. i hope i can help you. is it square root of 3 tan theta -3=0?
if then, square both sides. it gives you.
3 tan theta - 3 = 0
3 tan theta= 3
divide both sides by 3.
tan theta = 1
when is the tan theta equals to 1? now, for that. you can use your calculator. press tan inverse 1 and enter
gives you 45 degree.
now to find all the possible answers, you have to first look at the sign before 1. which is positive. now,
we know, tangent = sin / cosine
what are the sign that we have to have for sin and cosine to get tangent positive?
well, under two condition, either both has to be positive in sign or be negative sign (which when divided will be positive)
so, what quadrant is (+,+) and (-, -)? its 1st and 3rd.
we already have 45 degree as in first quadrant. left to find degree in third quadrant. which will be (180+45)
= 225 degree.
so this are the answers: 45 and 225 degrees.