Can someone help me solve this trigonometric expression please? Thanks!
1 Answer
Sep 23, 2017
The correct answer is
Explanation:
The obvious first step here would be to put on a common denominator.
#1/(1 + sintheta) + 1/(1 - sintheta)#
#=(1 -sintheta)/((1 + sintheta)(1 -sintheta)) + (1 + sintheta)/((1 - sintheta)(1+ sintheta))#
#= (1 - sintheta + 1 + sintheta)/((1 + sintheta)(1 - sintheta))#
#= 2/(1 - sin^2theta)#
We know that
#= 2/cos^2theta#
#= 2sec^2theta#
Hopefully this helps!