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Ad libitum [116K]
3 years ago
10

If secθ = 13\5 and 270° < θ < 360°, then tanθ = _____. -12\5 -5\12 5\12 12\5

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
4 0

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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myrzilka [38]

Answer:

1\frac{3}{4}

Step-by-step explanation:

In order to find the answer, you first need to convert the mixed number (2 1/3) into a improper fraction and then multiply.

\frac{3}{4} \times2\frac{1}{3}

2\frac{1}{3} =3\times2=6+1=7=\frac{7}{3}

\frac{3}{4} \times\frac{7}{3}

3\times7=21

4\times3=12

=\frac{21}{12} =\frac{7}{4} =1\frac{3}{4}

=1\frac{3}{4}

Hope this helps.

7 0
3 years ago
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
lapo4ka [179]

Answer:

11,60,62

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4 0
2 years ago
Read 2 more answers
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Liono4ka [1.6K]

Answer:

Step-by-step explanation:

Sum of interior angle of any polygon =(n-2) × 180°where n represents the number of sides in any polygon.

Or 1260 =(n-2)x180

Dividing both sides by 180:

7=n-2

Adding both sides by 2 we have :

n=9.

Hence a nanogon will have the sum of interior angles as 1260°.

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3 years ago
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