Question

(ii) sec^4A - tan^4 A = 1 + 2 tan^2A​

Answer 1

Answer:

sec^4A - tan^4A

(sec^2A)^2 - (tan^2A)^2

(sec^2A + tan^2A) (sec^2A - tan^2A)

because (a^2 - b^2) = (a + b) (a - b)

so, (sec^A + tan^2A).1

(1 + tan^2A + tan^2A)

(1 + 2tan^2A).

Step-by-step explanation:

#Hope you have satisfied with this answer.

Answer 2

Answer:

sec^4A - tan^4A

(sec^2A)^2 - (tan^2A)^2

(sec^2A + tan^2A) (sec^2A - tan^2A)

because (a^2 - b^2) = (a + b) (a - b)

so, (sec^A + tan^2A).1

(1 + tan^2A + tan^2A)

(1 + 2tan^2A).

Step-by-step explanation:

#Hope you have satisfied with this answer.