![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The trigonometry identity is cos x + sin x tan x = sec x.
\cos x + sin x tan x
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=04d09b385df735e889ffc6af682c5952.png\")
(Quotient identity: ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=cc36763b6cf74b1fb3936d0cad119660.png\")
)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3521222d5d2dc54dc5c8a7f6ea8b463c.png\")
(Simplify)![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=adbcd058decee1d36503bbf9d69ccc6a.png\")
(Simplify)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=452b5dde91433f6fe99bc5fe3e3a5506.png\")
(Pythagorean Identity: ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9bb4b92b299a3d096b449bda6294800e.png\")
)
= sec x (Reciprocal identity: ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=d9ca4ffa258790d952aac3b47ac913c2.png\")
)![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The identity is verified.