Question

(secA +tanA)(1-sinA)
​

Answer 1

sec a+tan a × 1-sin a

=

$(1 \div cosa \: + sina \div cosa)(1 - sina) \\ = ((1 + sina) \div cosa)(1 - sina) \\ =( 1 - {sin}^{2} a) \div cosa \\ = {cos}^{2} a \div cosa \\ = cosa$

hope it helps...

Mark it brainlist please