0 to π/2 — First quadrant, so reference angle = angle;1 31 lies in the fourth quadrant 2 The tangent ratio is negative in the fourth quadrant 3 In the fourth quadrant, the basic acute angle, 360 β = 3600 − 31 = 480 4 Therefore tan 31 = − tan 480 = − (by calculator) Example 4 Given that and is obtuse, find the exact value of Solution Since θ is obtuse, it is in Quadrant 2Trigonometry Find the Other Trig Values in Quadrant III cos (t)=1/3 cos (t) = − 1 3 cos ( t) = 1 3 Use the definition of cosine to find the known sides of the unit circle right triangle The quadrant determines the sign on each of the values cos(t) = adjacent hypotenuse cos
Solved If Sin T Frac 3 4 And T Is In Quadrant Mathrm Ii Find Cos T Sec T Csc T Tan T Cot T
