Hey Odonksy.
There are some special values that have exact solutions.
Hint: Look at the tangent of pi/3, pi/4, and pi/6.
For some reason I am thrown off by trig questions asking to find the exact value(s) within a specified interval.
Questions 1-2:
Directions: Find the exact value of s:
1. [0, pi / 2]; tan s = sqrt(3) / 3
2. [-2pi, pi); tan^2 s = 3
Question 3:
Directions: Find all values of theta, if theta is in the interval [0 degrees, 360 degrees] and has the given function value:
csc theta = sqrt(2)
Could someone please provide direction as to how to solve these problems?
In the first case you have tan x = (sqrt 3)/ 3 = 1/(sqrt 3)and it is the value of tan 30 degree or pi / 6
what is the value of A if tan A = sqrt 3 It is 60 degree or pi/3
also remember that tangent is positive in first and third quadrant and negative in 2nd and 4th quadrant.