Please help me
-tan^2 x+sec^2 x=1
1 answer:
Answer:
It is identity.
It is true for any x in the domain of the equation.
Step-by-step explanation:
Recall the Pythagorean Identity:
.
Divide both sides be
:

.
is also known as a Pythagorean Identity as well.
I'm going to apply this last identity I wrote to your equation on the left hand side.
Replacing
with
:
![-\tan^2(x)+[\tan^2(x)+1]](https://tex.z-dn.net/?f=-%5Ctan%5E2%28x%29%2B%5B%5Ctan%5E2%28x%29%2B1%5D)
Distribute:

Combine like terms:


This is what we also have on the right hand side so we have confirmed your given equation is an identity.
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Step-by-step explanation:
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Plug in each variable.
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