Verify the identity
sec^2(x)tan^2(x)+sec^2(x)=sec^4(x)
1 answer:
Answer:
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
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