Question

1/cos+sin/cos=1-sin/cos​

Answer 1

Step-by-step explanation:

LHS....

1/cosA. + sinA/ cosA

( 1+sinA)/cosA

multiply (1-sinA). NUM & denominator

(1+sinA) (1-sinA)/ cosA(1-sinA)

= 1- sin^2A /cosA(1-sinA)

= cos^2A / cosA(1-sinA)

=. cosA/ 1- sinA

again multiply by 1-sinA

cosA(1-sinA)/ (1-sinA)^2

cosA(1-sinA) / 1 +sin^2A-2sinA

cosA(1-sinA)/ 1-sin^2A

cosA(1-sinA)/ cos^A

(1-sinA)/cosA✓✓✓

hope it's helpful. (•‿•)(•‿•)