Find the exact trigonometric ratios for the angle x whose radian measure is given. (If an answer is undefined, enter UNDEFINED.)

Question

defon

3 years ago

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Find the exact trigonometric ratios for the angle x whose radian measure is given. (If an answer is undefined, enter UNDEFINED.)

27π /4

Mathematics

1 answer:

grin007 [14] · Answer 1 · 2022-06-21T18:05:03+03:00

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.

$\sin 135^{\circ}=\frac{1}{\sqrt{2}}\\ \cos 135^{\circ}= -\frac{1}{\sqrt{2}}\\ \tan 135^{\circ}=-1\\ \csc 135^{\circ}=\sqrt{2}\\ \sec 135^{\circ}=-\sqrt{2}\\ \cot 135^{\circ}=-1$