Question

proove that tan square a -sin square a = sin power 4 a *sec square a
answer that fast

Answer 1

Step-by-step explanation:

prove - tan²A - sin²A = sin⁴Asec²A

proof - solving LHS

tan²A - sin²A

sin²A/cos²A - sin²A

sin²A-sin²Acos²A/cos²A

sin²A(1-cos²A)/cos²A

sin²Asin²A/cos²A

sin⁴A/cos²A

sin⁴Asec²

identities used here

1) sin²A+cos²A = 1

2) sinA/cosA = tanA

3) 1/cosA = secA