Given sec (theta) = -2, tan (theta) > 0. Find the exact values of Sin (theta) and cot (theta)
This has to be an angle in the 3rd quagrant for the secant to be negative and the tangent to be positive.
The secant is = 2 where the cosine = 1/2, i.e., 60 degrees. So this is a 60 degree angle in quad 3 = 240 degrees.
The sine = -√(3)/2 and the cotangent = 1/√(3) (or √(3)/3)
This has to be an angle in the 3rd quagrant for the secant to be negative and the tangent to be positive.
The secant is = 2 where the cosine = 1/2, i.e., 60 degrees. So this is a 60 degree angle in quad 3 = 240 degrees.
The sine = -√(3)/2 and the cotangent = 1/√(3) (or √(3)/3)