Question

find the value of (sec A + tan A) (1-sinA)​

Answer 1

$\huge\underbrace{\purple{\bf{✨AnSweR✨}}}$

Given,

$\Large {\bf{[(secA+tanA)(1−sinA)]}}$

$\Large {\bf{⇒(\frac {1+sin\;A}{cos\;A}) (1-sin\;A)}}$

$\Large {\bf{⇒ \frac {1-sin²\;A}{cos\;A} = \frac {cos²\;A}{cos\;A}}}$

$\Large {\sf{☞ cos\;A}}$

Therefore,

The Value is $\fbox\red {cos\;A}$