61.6k views
0 votes
Use basic trigonometric identities to simplify the expression: tan^3(x) + tan (x)=?

Use basic trigonometric identities to simplify the expression: tan^3(x) + tan (x)=?-example-1
User Janub
by
3.5k points

1 Answer

6 votes

Step 1

Simplify the expression.


\tan (x)(\tan ^2(x)\text{ +1)}

Step 2

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


\tan ^2(x)+1=sec^2(x)

Step 3

Get the final answer after substitution.


\tan (x)sec^2(x)

Hence the right answer is option B

User Danze
by
4.0k points