From the information given find the quadrant in which the te

From the information given, find the quadrant in which the terminal point determined by t lies. (a) Sin(t) 0, quadrant (d) Sin(t) 0, quadrant

Solution

We know that sin is positive in Ist and IInd quadrant and negative in IIIrd and IVth quadrant. Similarly cos is positive in Ist, IVth quadrant and negative in IInd and IIIrd quadrant.

a)here sin and cos both are negative which happen in IIIrd quadrant thus point lies in IIIrd quadrant

b)here sin is positive and cos is negative which happen in IInd quadrant thus point lies in IInd quadrant

b)here sin and cos both are positive which happen in Ist quadrant thus point lies in Ist quadrant

b)here sin is negative and cos is positive which happen in IVth quadrant thus point lies in IVth quadrant