Question

(1 - cos A) (1 + sec A) = tan A sin A.
Prove​

Answer 1

here is your ans ....................

Answer 2

(1-cosA)(1+secA)

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

(1-CosA)(1+cosA/cosA)

1-Cos^2A/cosA

As we know

Sin^2A+cos^2A= 1

so sin^2A=1-cos^2A

therefore

sin^2A/cosA

(sinA/cosA)×sinA

tanAsinA

thanks for asking