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3 years ago

If sin a = - 4/5and cos a > 0, find tan a and sec a.

Mathematics

1 answer:

Nina [5.8K]3 years ago

7 0

Answer:

tan(a) = -4/3

sec(a) = 5/3

Step-by-step explanation:

sine is opposite over hypotenuse. so no we have a triangle with a hypotenuse of 5 and an opposite side relative to some angle a of -4. the hypotenuse is never negative.

so draw a right triangle, mark one of the non right angles as a then the side opposite to that is -4 and the hypotenuse is 5. use the pythagorean theorem to find the remaining angle. The result could be positive or negative, but the questions specifically tells us we want the positive version.

b^2 + -4^2 = 5^2

b = 3

tangent is opposite over adjacent. for a we know the opposite is 3now so tan(a) = -4/3

Now, secant is 1/cos, so lets find cos(a)

cos is adjacent over hypotenuse, and we jsut found the adjacent is 3. so cos(a) = 3/5

Now 1/cos(a) = hypotenuse over adjacent so 5/3

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Answer:

Step-by-step explanation:

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3 years ago

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timama [110]

Answer:

The answer is D. -3, 6, 11

Step-by-step explanation:

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4 years ago

7. Are the ordered pairs below an arithmetic sequence or geometric

DochEvi [55]

Answer:

8. Arithmetic Progression

9. $f(9) = 300$

Step-by-step explanation:

Given

$\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}$

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

$d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3$

This gives:

$d = 45 - 55 = 35 - 45 = 25 - 35$

$d = -10 = -10 = -10$

$d=-10$

<em>Because the common difference is equal, then it is an arithmetic progression</em>

Solving (8):

$f(n) = f(1) + f(n-1)$

To find f(9), we substitute 9 for n

$f(9) = f(1) + f(9-1)$

$f(9) = f(1) + f(8)$

We need to solve for f(8); substitute 8 for n

$f(8) = f(1) + f(8 - 1)$

$f(8) = f(1) + f(7)$

We need to solve for f(7); substitute 7 for n

$f(7) = f(1) + f(7 - 1)$

$f(7) = f(1) + f(6)$

We need to solve for f(6); substitute 6 for n

$f(6) = f(1) + f(6 - 1)$

$f(6) = f(1) + f(5)$

We need to solve for f(5); substitute 6 for n

$f(5) = f(1) + f(5 - 1)$

$f(5) = f(1) + f(4)$

From the function, f(4) = 25 and f(1) = 55.

So:

$f(5)=55 + 25$

$f(5)=80$

$f(6) = f(1) + f(5)$

$f(6) = 55 + 80$

$f(6) = 135$

$f(7) = f(1) + f(6)$

$f(7) = 55 + 135$

$f(7) = 190$

$f(8) = f(1) + f(7)$

$f(8) = 55 + 190$

$f(8) = 245$

$f(9) = f(1) + f(8)$

$f(9) = 55 + 245$

$f(9) = 300$

8 0

3 years ago

Greg bought 2 boxes of balloons. He used half of them to decorate his yard. he used 40 to decorate his porch. and used the rest

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4 years ago

At a fabric store, the probability that a customer buys thread is 0.15. The probability that a customer buys a needle given that

Sveta_85 [38]

Answer:

The correct statement is:

C. Buying a needle and buying a thread are dependent events.

Explanation:

The first statement is incorrect because the given events are dependent on each other because the probability that a customer buys a needle given that the customer buys thread is 0.25.

The second statement is incorrect because we cannot say all those who buy a thread also buy a needle.

The fourth statement is incorrect because the probability that a customer buys a needle and thread is $0.25 \times 0.15=0.0375$

8 0

4 years ago

If sin a = - 4/5and cos a > 0, find tan a and sec a.​

If sin a = - 4/5and cos a > 0, find tan a and sec a.