how do I solve these?

Question

(Tan^2ө)(Cos^2ө)+ (cot^2ө)(sin^2ө)

The answer is supposed to be one but I don't know how to get it.

9sec^2ө - 5 tan^2ө

The answer is supposed to be 5+4sec^2ө

Answer 1

(Tan^2ө)(Cos^2ө)+ (cot^2ө)(sin^2ө)

sin^2 cos^2/cos^2 + (cos^2/sin^2) sin^2

sin^2 + cos^2

1

Answer 2

9 /cos^2 - 5 sin^2 / cos^2

(9 - 5 sin^2 )/cos^2

(9 - 5 (1-cos^2)) / cos^2

(4 + 5 cos^2)/cos^2

5 + 4 / cos^2

5 + 4 sec^2