Prove that :Cos theta /1-sin theta = sec theta +tan theta ?
2 Answers
The LHS of the proving statement is given as
Multiply and divide by
By the identity,
Explanation:
#"consider the left side"#
#costheta/(1-sintheta)#
#"multiply numerator/denominator by "(1+sintheta)#
#=(costheta(1+sintheta))/((1-sintheta)(1+sintheta))#
#=(costheta+costhetasintheta)/(1-sin^2theta)#
#=(costheta+costhetasintheta)/cos^2theta#
#=1/costheta+sintheta/costheta#
#=sectheta+tantheta=" right side "rArr" proved"#