Verify the identity. To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step.

[tex]\to \frac{\tan x}{\sec x} \\\\\therefore \ \ \ \tan x= \frac{ \sin x}{ \cos x} \ \ \ \ and \ \ \ \ sec x = \frac{1 }{ \cos x}\\\\\to \frac{\frac{ \sin x}{ \cos x}}{ \frac{1 }{ \cos x}} \\\\\to \frac{ \sin x}{ \cos x} \times \frac{ \cos x}{1 }\\\\\to \sin x[/tex]

The numerator transformation value is = [tex]\sin x[/tex]

The denominator transformation value is= 1

ibiscollingwood ibiscollingwood · Answer 2 · 2022-03-30T08:18:01+02:00

After transformation, we get [tex]\frac{tan(x)}{sec(x)}=sin(x)[/tex]

Trigonometric identity:

We have to verify the identity [tex]\frac{tan(x)}{sec(x)}[/tex]

As we know that,

[tex]tan(x)=\frac{sin(x)}{cos(x)}\\\\sec(x)=\frac{1}{cos(x)}[/tex]

So that,

[tex]\frac{tan(x)}{sec(x)}=\frac{sin(x)}{cos(x)} *cos(x)\\\\\frac{tan(x)}{sec(x)}=\frac{sin(x)}{1}[/tex]

The numerator transform expression is [tex]sin(x)[/tex].

The denominator transform expression is 1.

Learn more about the trigonometric identity here:

https://brainly.com/question/7331447

Complete question: trigonometric expression is [tex]\frac{tan(x)}{sec(x)}[/tex]

Verify the identity. To verify the​ identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step.

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Trigonometric identity:

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Verify the identity. To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step.