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Assoli18 [71]
3 years ago
7

Find the exact value of tan(theta) for an angle (theta) with sec(theta) = 3 and with its terminal side in Quadrant I.

Mathematics
1 answer:
stiks02 [169]3 years ago
3 0

Answer:

c

Step-by-step explanation:

1 + tan²theta = sec²theta

tan²theta = 3² - 1

tan²theta = 8

tan theta = sqrt(8)

Positive because Quadrant 1

sqrt(8) = sqrt(4×2) = sqrt(4)×sqrt(2)

= 2×sqrt(2)

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Answer:

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Step-by-step explanation:

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3 years ago
What is the measure in radians for the central angle of a circle whose radius r = 4 cm, and intercepted arc length s = 1.2 cm? E
rodikova [14]

Answer:

17.1972degrees

Step-by-step explanation:

length of an arc = theta/360 * 2πr

Substitute the given angle;

1.2 = theta/360 * 2(3.14)(4)

1.2 = theta/360 * 25.12

1.2/25.12 = theta/360

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theta = 360 * .04777

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3 years ago
A number, x, rounded to 2 significant figures is 1300<br>Write down the error interval for x.​
nikitadnepr [17]

Answer:

[1250,1350).

Step-by-step explanation:

It is given that a number, x, rounded to 2 significant figures is 1300.

It is possible if,

1. The value of x is greater than of equal to 1250 and less than or equal to 1300.

i.e., 1250\leq x\leq 1300     ...(1)

2. The value of x is greater than of equal to 1300 and less than 1350.

i.e., 1300\leq x       ...(2)

On combining (1) and (2), we get

1250\leq x < 1350

1350 is not included in the error interval for x.​

Interval notation is [1250,1350).

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sattari [20]

Answer:

see explanation

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To find x use the sine ratio in the right triangle and the exact value

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14\sqrt{3} = y \sqrt{3} ( divide both sides by \sqrt{3} )

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