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Elis [28]
4 years ago
15

When writing a repeating decimal as a fraction does the number of repeating digits you use matter

Mathematics
1 answer:
umka21 [38]4 years ago
4 0
Yes, it matters, if it is recurring or simply just irrational <span />
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If secθ = 13\5 and 270° &lt; θ &lt; 360°, then tanθ = _____. -12\5 -5\12 5\12 12\5
r-ruslan [8.4K]

Answer:

tanΘ = - \frac{12}{5}

Step-by-step explanation:

Using the trigonometric identity

tan²Θ + 1 = sec²Θ, thus

tan²Θ + 1 = (\frac{13}{5} )² = \frac{169}{25} ( subtract 1 from both sides )

tan²Θ = \frac{144}{25} ( take the square root of both sides )

tanΘ = ± \sqrt{\frac{144}{25} }

Since 270 < Θ < 360 , that is the fourth quadrant where tan Θ < 0, thus

tanΘ = - \frac{12}{5}

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