Question

sec⁴A- sec²A is equal to​

Answer 1

Answer:

sec⁴A- sec²A is equal to​ $\frac{sin^2A}{cos^4A}$

Step-by-step explanation:

$sec^2A(sec^2A-1) = sec^2A * tan^2A$ = $\frac{sin^2A}{cos^4A}$

Answer 2

Solution:- sec⁴A - sec²A

• ⟹ sec²A ( sec²A - 1)

⟹ sec²A (tan²A) [∵sec²A -1 = tan²A]

we know that , sec²A = 1/cos²A and tan²A = sin²A/cos²A

∴ 1/cos²A × sin²A/cos²A

⟹ sin²A/cos⁴A

Hence , sec⁴A -sec²A = sec²A(tan²A) = sin²A/cos⁴A

________________________________