if sin x=12/13.find the quadrant in which x can lie.also find the remaining trigonometric functions. Share with your friends Share 2 Vijay Kumar Gupta answered this Consider the following trigonometric value. sinx=1213Here the sine function is positive and note that sine function is positive inI and II quadrant.So here 'x' can lie in I and II quadrant.Without loss of genrallity, let us suppose that x lies in first quadrant.So all the other trigonomatric functions are positive.Use the pythagorean identity. cosx=1-sin2x =1-12132 =1-144169 =169-144169 =25169 =513The tangent function is given by, tanx=sinxcosx =1213513 =125The other three can be detremined using reciprocal identities. cosecx=1sinx =11213 =1312 secx=1cosx =1513 =135 cotx=1tanx =1125 =512Note that if x lies in 2nd quadrant, then the functions cosx, secx , cotx and tanx are negative. 3 View Full Answer
