Verify the identity
sec^2(x)tan^2(x)+sec^2(x)=sec^4(x)

see explanation

Step-by-step explanation:

Using the trigonometric identity

tan²x + 1 = sec²x ⇒ tan²x = sec²x - 1

Consider the left side

sec²x × tan²x + sec²x

= sec²x(sec²x - 1) + sec²x ← distribute and simplify

= x - sec²x + sec²x

= x = right side ⇒ verified

step-by-step explanation:

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