ANGLES IN QUADRANTS
Sign of Trigonometric ratios (by using ALL silver TEA cups)
1. If ' \(\theta\)' lies in Q1, Q2, Q3 and Q4 then the sign of trigonometric ratios are as follows.
Note :
1) for \({0^0} \pm \theta ,\,180 \pm \theta ,\,{360^0} \pm \theta \) there is no, change in the trigonometric ratios.
\(\sin \leftrightarrow \sin ,\,\,\cos \leftrightarrow \cos ,\,\tan \leftrightarrow \tan ,\,\,\,\,\cos ec \leftrightarrow \cos ec,\sec \leftrightarrow \sec ,\,\,\cot \leftrightarrow \cot \)
2)\({90^0} \pm \theta ,\,\,{270^0} \pm \theta \) the change in the trigonometric ratios is an follows.
\(\sin \leftrightarrow \cos ,\,\,\,\tan \leftrightarrow \cot ,\,\,\,\,\sec \leftrightarrow csc\)
3) whether we get + or - sign in the answer, it should be decided by considering the quadrant in which angle \(\left( {in\,\,\,\,{{360}^0} \pm \theta } \right)\) lies
From standard Angles