θSimplify the trigonometric expression. Show your work. 1/1+sin θ+ 1/1 - sin θ
1 / [1 +sin Θ] + 1 / [ 1 - sin Θ ] get a common denominator
[ 1 - sin Θ + 1 + sin Θ ] / [ 1 - sin^2 Θ] =
2 / [1 - sin^2 Θ ] =
2 / cos^2 Θ =
2 sec^2 Θ
