Question

prove that identity tanA+secA-1/tanA-secA+1=1+sinA/cosA​

Answer 1

Good morning
Have a nice day
Always be haappy
God bless yu and your family

Answer 2

Answer:

Solved your question below

Step-by-step explanation:

tanA + secA - 1 / tanA - secA + 1 = 1 + sinA / cosA

LHS = tanA + secA -1 / tanA - secA + 1

= tanA + secA + tan2A - sec2A / tanA - secA + 1

as tan2A + 1 = sec2A

= tanA + secA +(tanA + secA)(tanA - secA)/ tanA - secA + 1

= tanA + secA( 1 + tanA - secA) / tanA - secA + 1

=tanA + secA

= sinA / cosA + 1/cosA

= sinA + 1 / cosA