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Use basic trigonometric identities to simplify the expression: tan^3(x) + tan (x)=?

Use Basic Trigonometric Identities To Simplify The Expression Tan3x Tan X class=

Sagot :

Step 1

Simplify the expression.

[tex]\tan (x)(\tan ^2(x)\text{ +1)}[/tex]

Step 2

Find a trigonometric identity that can be used to simplify the expression in step 1

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

Step 3

Get the final answer after substitution.

[tex]\tan (x)sec^2(x)[/tex]

Hence the right answer is option B

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