Question

What's the correct answers? Quick and concise explanation please.

Answer 1

2, 3, 4 and 7 are correc.t

Explanation:

sec^2 x = 1 + tan^2x

so sec^2 x - 1 = tan^2 x

So the second choice is correct.

sec^2 x - cos^2x - sin^2x

= sec^2 x - (cos^2x + sin^2 x()

= sec^2 x - 1

The third is correct.

sec^2x / csc^2x = 1 / cos^2x / 1 / sin^2x

= sin^2x / cos^2x

= tan^2x

= 1 - sec^2 x

So the fourth choice is correct.

1 - cos^2x / cos^2 x

= sin^2x / soc^2x

= tan^2x

= 1 - sec^2x

The seventh choice is correct.