All categories

2 years ago

Given cos x =12/13 And sin x = 5/13 what is ratio for tan x

Mathematics

2 answers:

DENIUS [597]2 years ago

7 0

Answer: The ratio for $\tan x$ is $\dfrac{5}{12}.$

Step-by-step explanation: Given that

$\cos x=\dfrac{12}{13},\\\\\\\sin x=\dfrac{5}{13}.$

The tangent of an angle is given by the sine of that angle divided by the cosine of that angle.

So, for any angle 'x', we have

$\tan x=\dfrac{\sin x}{\cos x}.$

For the given values, the ratio of $\tan x$ can be calculated as follows:

$\tan x=\dfrac{\sin x}{\cos x}=\dfrac{\frac{5}{13}}{\frac{12}{13}}=\dfrac{5}{13}\times \dfrac{13}{12}=\dfrac{5}{12}.$

Thus, the ratio is given by

$\tan x=\dfrac{5}{12}.$

RideAnS [48]2 years ago

6 0

Its 5/12 you just divide sin by cos to get tan so divide 5/13 by 12/13 and you'll get tan

You might be interested in

For f(x) = 2x – 3 find f(-1/4)

Firdavs [7]

9514 1404 393

Answer:

-3 1/2

Step-by-step explanation:

Put the argument where the variable is and do the arithmetic.

f(-1/4) = 2(-1/4) -3 = -1/2 -3

f(-1/4) = -(3 1/2)

5 0

2 years ago

A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la

Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

each two consecutive numbers

- Ex:

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d

So the nth term is Un = a + (n – 1)d, where n is the position of the

number in the series

- The formula to find the sum of n terms is

Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0

2 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

tigry1 [53]

Answer:

$P(A) = \frac{30}{100}$

$P(B) = \frac{77}{100}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

Step-by-step explanation:

Given

See attachment for proper format of table

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

In this row:

$Yes = 22$ and $No = 8$

So, we have:

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

Solving (b): P(B)

Here, we only consider data in the Yes column.

In this column:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

So, we have:

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

This cell is: [Supplier 1][Yes]

And it is represented with; n(A n B)

So, we have:

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

8 0

2 years ago

On a map, 90 miles is represented by 3 inches.

zepelin [54]

Hello!

3 inches equals 90 miles

We have to find what multiplied by 3 is 1/2

we can do 3 / 1/2 to find this

3 / 0.5 = 6

So they divide it by 6

We do 90/6

90/6 = 15

The answer is 15

Hope this helps!

7 0

3 years ago

There are 8 calories in a candy bar how many calories are there in 2 candy bars

ahrayia [7]

Answer:

Step-by-step explanation:

8*2

6 0

2 years ago