Question #3d575

1 Answer
Somebody N.
Feb 13, 2018

See below.

Explanation:

#1/(1-sintheta)+1/(1+sintheta)=2/(cos^2theta#

LHS:

Add fractions:

#(1+sintheta+1-sintheta)/((1-sintheta)(1+sintheta)#

#(1+sintheta+1-sintheta)/((1-sin^2theta)#

#2/((1-sin^2theta)#

Identity:

#color(red)bb(sin^2x+cos^2x=1)#

#:.##color(red)bb(1-sin^2x=cos^2x)#

#2/cos^2theta#

#LHS-=RHS#

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