Question

sin A × tan A ÷ 1-cos A= 1+ sec A ​

Answer 1

Step-by-step explanation:

sin A × tan A ÷ 1-cos A= 1+ sec A

Taken lhs

sin A × tan A ÷ 1-cos A

sinA * sin A/ cos A ÷ 1-cos A

sin^2 A/ cos A ÷ 1-cos A

(1- cos^2 A)/ cos A ÷ (1-cos A)

(1+ cos A) ( 1 - cosA) / cos A ÷ (1-cos A)

cut (1-cos A)

(1+ cos A)/ cos A

1/ cos A. + cosA/ cosA

sec A + 1. RHS