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3 years ago

Sin 0= 8/17 determine the value of tan?

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

Answer:

tan theta = 8/15

Step-by-step explanation:

Sin is equal to opposite over hypotenuse. So it means that the side opposite from theta is 8, and the hypotenuse is 17.

To find the value of the adjacent side from theta, use the Pythagorean Theorem.

a^2 + b^2 = c^2

8^2 + b^2 = 17^2

64 + b^2 = 289

Subtract 64.

b^2 = 225

Take the square root.

b = 15.

So that means:

the side opposite from theta is 8,

the side adjacent from theta is 15,

the hypotenuse is 17.

Now we take tan, opposite over adjacent, and use the values from the triangle.

tan = opposite / adjacent

tan = 8/15.

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Find the 17th term in the sequence for which a1 = 10 and d = -3.

yKpoI14uk [10]

Answer:

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Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is as follows:

$a_{n+1} = a_{n} + d$

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We can expand the general equation to find the nth term from the first, by the following equation:

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In this question:

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17th term:

$a_{17} = a_{1} + (17-1)*d = 10 + 16*(-3) = -38$

So the correct answer is:

d. -38

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