Question

Which steps can be used to verify that tan(w + Pi) = tan(w)?

Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expression using tan(Pi) = 1.
Rewrite tan(w + Pi) as tan(w) + tan(Pi). Then simplify the expression using tan(Pi) = 0.
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 1.
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.

Answer 1

Answer:

D. Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.

Step-by-step explanation:

got it right on edge :)

Answer 2

The steps to verify $\tan(w + \pi) = \tan(w)$ are (d) Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0

How to determine the steps?

The trigonometric expression is given as:

$\tan(w + \pi) = \tan(w)$

Apply the tangent sum identity

$\tan(w + \pi) = \frac{\tan(w) + \tan(\pi)}{1 - \tan(w)\tan(\pi)}$

As a general rule, we have:

$\tan(\pi) = 0$

So, the equation becomes

$\tan(w + \pi) = \frac{\tan(w) + 0}{1 - 0 *\tan(\pi)}$

Evaluate

$\tan(w + \pi) = \tan(w)$

Hence, the steps to verify $\tan(w + \pi) = \tan(w)$ are (d)

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