Here Radian measure of an angle=27π/4
we have to find the value of six trigonometric functions.
First i have converted radian measure of an angle into degrees.
27π/4=(27×180)÷4=1215°=3 Quadrants +135°=135°
which lies in second Quadrant.
As in second quadrant only sine, cosec ,function are positive.All other trigonometric function i.e cos,sec,tan,cot function will be of negative value.
[tex]\sin 135^{\circ}=\frac{1}{\sqrt{2}}\\ \cos 135^{\circ}= -\frac{1}{\sqrt{2}}\\ \tan 135^{\circ}=-1\\ \csc 135^{\circ}=\sqrt{2}\\ \sec 135^{\circ}=-\sqrt{2}\\ \cot 135^{\circ}=-1[/tex]
