Question

Which equation can be used to prove 1 + tan2(x) = sec2(x)?

Answer 1

Answer:

fourth option

Step-by-step explanation:

Using the trigonometric identity

cos²x + sin²x = 1

Divide all terms by cos²x

$\frac{cos^2x}{cos^2x}$ + $\frac{sin^2x}{cos^2x}$ = $\frac{1}{cos^2x}$ which gives

1 + tan²x = sec²x