Question

Prove that sec A(1-sinA) (secA+tanA.

Answer 1

Answer:

Step-by-step explanation:

SecA(1-SinA) (SecA+TanA)

=> (1/CosA) (1-SinA) (1/CosA + SinA/CosA)

=> (1-SinA/CosA) (1+SinA/CosA)

=> (1- SinA) (1+SinA)/ Cos²A

=> 1-Sin²A/Cos²A            [using (a+b)(a-b) =a²-b²]

=> Cos²A/Cos²A             [using 1- Sin²A =Cos²A]

=> 1 = RHS