By graphing both sides of the equation, determine whether the following is an identity:
1+sec^2x= tan^2 x

Question

contestada

Respuesta :

LammettHash LammettHash · Answer 1 · 2019-05-01T17:34:24+02:00

Graphing is overkill... Let [tex]x=0[/tex]. Then [tex]\sec0=1[/tex], while [tex]\tan0=0[/tex]. But [tex]1+1=2\neq0[/tex], so this is not an identity.

Answer Link

lauradevilleros lauradevilleros · Answer 2 · 2019-07-25T15:25:10+02:00

Answer:

It is not an identity

Step-by-step explanation:

If you graphic the two equations (left and right) separately, if they are an identity, they will be the same graphic, which is not true in this case.

Another way in order to know if an equation is an identity, you can replace some values at x, for example 2 values:

X=30

X=60

And now we substitute in the equation, like this:

[tex]1+sec^2(30)=tan^2(30)[/tex]

2,33=0,33 this is not equal on both sides

[tex]1+sec^2(60)=tan^2(60)[/tex]

5=3 this is not equal on both sides

And if the results for each number x are the same on both sides of the equation, it is an identity. In this case they are different.