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frez [133]
3 years ago
7

Sec0 = -

ign="absmiddle" class="latex-formula"> and cot0 < 0, find exact values of tan0 and sin0.
Mathematics
2 answers:
enot [183]3 years ago
8 0

Answer:

Solution given;

Sec θ=-\frac{13}{12}

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

\frac{1}{cosθ}=-\frac{13}{12}

cosθ=\frac{12}{13}

\frac{b}{h}=\frac{12}{13}

b=12

h=13

By using Pythagoras law

p=\sqrt{13²-12²}=5

Now

exact values of tan θ=\frac{p}{b}=\frac{5}{12}

since it lies in II quadrant

<u>tan θ</u><u>=</u><u>-</u>\frac{5}{12}

and

sinθ=\frac{p}{h}=\frac{5}{13}

since it lies in II quadrant

<u>sin</u><u> </u><u>θ</u><u>=</u>\frac{5}{13}

ziro4ka [17]3 years ago
3 0

Answer:

tan 0 = -2.4

sin 0 = 0.3846

Step-by-step explanation:

sec 0 = -13/12, and cot 0 < 0

the angle 0 is in quadrant II

sec 0 = -13/12 = cos 0 = -12/13 = x/r

=> y = √13²-12²=√169-144=√25=5

so,

tan 0 = y/x = -12/5 = -2.4

sin 0 = y/r = 5/13 = 0.3846

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The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit
Alla [95]

Answer:

The answer is below

Step-by-step explanation:

The diameter of a tire is 2.5 ft. a. Find the circumference of the tire. b. About how many times will the tire have to rotate to travel 1 mile?

Solution:

a) The circumference of a circle is the perimeter of the circle. The circumference of the circle is the distance around a circle, that is the arc length of the circle. The circumference of a circle is given by:

Circumference = 2π × radius; but diameter = 2 × radius. Hence:

Circumference = π * diameter.

Given that diameter of the tire = 2.5 ft:

Circumference of the tire = π * diameter = 2.5 * π = 7.85 ft

b) since the circumference of the tire is 7.85 ft, it means that 1 revolution of the tire covers a distance of 7.85 ft.

1 mile = 5280 ft

The number of rotation required to cover 1 mile (5280 ft) is:

number of rotation = \frac{5280\ ft}{7.85\ ft\ per\ rotation}=672\ rotations\\\\\\

4 0
3 years ago
Read 2 more answers
Trigonometry, can anybody help??
WINSTONCH [101]

Answer:

angle B: 39

AC: 7.288

AB: 11.58

(note: you cut off the part about rounding so make sure that it's rounded correctly before you put in your answer)

Step-by-step explanation:

To solve this we will use SOH, CAH, TOA

we have the angle and the one opposite to it which means we can use either SOH or TOA

let's use TOA

tan(51)=(9/x)

x= 7.288

We can now use pahtagaryous theroem to solve for the hyptonouse

we have

9²+7.288²=C²

C=11.58

Finally, to find angle B we will recall that the angles of a triangle must add to 180.

51+90+a=180

a=39

5 0
3 years ago
How do i find a formula for "1+3+5+7+......+(2n-1)
nata0808 [166]

Answer:

Step-by-step explanation:

common difference d=3-1=2

first term a=1

an=a+(n-1)d

2n-1=1+(l-1)2

2n-1=1+2l-2

2n-1=2l-1

l=n

(i used l for number of terms)

number of terms=n

S_{n}=\frac{n}{2} (first ~term+last~term)\\=\frac{n}{2} (1+2n-1)\\=n^2

7 0
3 years ago
Which property can be justified using the ratios in triangle XYZ ?
Alenkasestr [34]
The correct answer is B.

Determine and recall first the trigonometric functions:

Sin A = Opposite/Hypotenuse
Cos A = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent

If for example we try to take an angle, for example the Y, then Y is opposite Y. The Hypotenuse will be the longer side which is going to denoted by X and the next side will be Adjacent which will be denoted by Z. 

Use this test to answer:

Sin Y = Y/X

where:

Y = opposite
X = hypotenuse 

Cos (90 - y) = cos (90 - 50) = cos 40

where Z = 40
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6 0
3 years ago
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MATH
ale4655 [162]

Answer:

the answer is 3

Step-by-step explanation:

in the number 66 there are "2" circles in them and so the answer we get 2

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we keep on going like that......

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hope this helped :D

7 0
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