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choli [55]
3 years ago
10

WILL GIVE BRAINLIEST.

Mathematics
1 answer:
Elena L [17]3 years ago
6 0

Answer:

\tan(\theta) = undefined

Step-by-step explanation:

Given

\sin(\theta) = -1

Required

Determine \tan(\theta)

We know that:

\sin^2(\theta) + \cos^2(\theta) = 1

This gives:

(-1)^2 + \cos^2(\theta) = 1

1 + \cos^2(\theta) = 1

Collect like terms

\cos^2(\theta) = 1 -1

\cos^2(\theta) = 0

Take square roots

\cos(\theta) = \sqrt 0

\cos(\theta) = 0

By tan identity

\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}

\tan(\theta) = \frac{-1}{0}

\tan(\theta) = undefined

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