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andrew11 [14]
3 years ago
7

What is the solution to this system of equations ?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

Answer: x=2,y=6,z=−5

Step-by-step explanation:

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Answer:

From the given ratio for tan\theta=\frac{4}{5} we found the values are

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Step-by-step explanation:

Given the ratio for tan\theta=\frac{4}{5}

We have to find the rest of trignometric functions:

tan\theta=\frac{4}{5}\hfill (1)

tan\theta can be written as

tan\theta=\frac{sin\theta}{cos\theta}\hfill (2)

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tan\theta=\frac{sin\theta}{cos\theta}=\frac{4}{5}

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Equating the coressponding numerator and denominator respectively

Therefore sin\theta=4 and cos\theta=5

We can find csc\theta

csc\theta=\frac{1}{sin\theta}

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csc\theta=\frac{1}{4}

We can find sec\theta

sec\theta=\frac{1}{cos\theta}

=\frac{1}{5} (since cos\theta=5)

sec\theta=\frac{1}{5}

To find cot\theta:

cot\theta=\frac{1}{tan\theta}

=\frac{1}{\frac{4}{5}}

=1\times \frac{5}{4}

=\frac{5}{4}}

cot\theta=\frac{5}{4}}

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