1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sineoko [7]
3 years ago
5

Find sin(B), cos(B) and tan(B) for the right triangle ABC shown. Please show your work below.

Mathematics
2 answers:
tangare [24]3 years ago
7 0

Hello!

These are the following formulas to calculate sine, cosine, and tangent.

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

To find sin(B), we need to find the side opposite of angle B, and the hypotenuse.

The opposite of angle B is 12, and the hypotenuse is 13.

sin(B) = 12/13

sin^-1(12/13) = 67.3801... This can be rounded to 67.38 degrees. (Tenths place: 67.4 degrees)

To find cos(B), we need to find the side adjacent of angle B, and the hypotenuse.

The adjacent side of angle B is 5, and the hypotenuse is 13.

cos(B) = 5/13

cos^-1(5/13) = 67.3801... It can be rounded to 67.38 degrees. Rounded to the tenths place is 67.4 degrees.

To find cos(B), we need to find the side adjacent and opposite of angle B.

The adjacent side of angle B is 5, and the opposite is 12.

tan(B) = (12/5)

tan^-1(12/5) = 67.3801... This can be rounded to about 67.38 degrees. Rounded to the tenths place is 67.4 degrees.

Therefore, the value of sin(B) is 67.38 degrees, the value of cos(B) is 67.38 degrees, and finally the value of tan(B) is 67.38 degrees.

PSYCHO15rus [73]3 years ago
5 0

Answer:

[tex] sin B=\frac[12}{13}[/tex]

cos B=frac{5}{13}

tan B=\frac{12}{5}

Step-by-step explanation:

We are given  a right triangle ABC

Perpendicular side=AC=12 units

Hypotenuse=AB=13 units

Base=BC=5 units

sin B=\frac{opposite \;side \;to \;angle B}{hypotenuse}

[tex] sin B=\frac[12}{13}[/tex]

cos B=\frac{base}{hypotenuse}

cos B=frac{5}{13}

tan B=\frac{perpendicular}{base}

tan B=\frac{12}{5}

You might be interested in
Please answer need to turn it in please help me answer
Elena-2011 [213]

Answer: Sir in what way would you like me to explain this

Step-by-step explanation:

4 0
1 year ago
The cost of a large pizza is given by c = 0.50t + 18, where c is the total cost and t is the number of toppings. The cost of a m
Mashutka [201]
The toppings would still cost 0.50 each (since it is just toppings)

The large pizza costs $18 if you do not have any toppings
The medium costs half of the large

18/2 = 9

The medium costs $9 without any toppings, so your new equation will be:

c = 0.50t + 9

hope this helps 
6 0
3 years ago
Read 2 more answers
Use the distributive property to fill in the blanks below.
elena-14-01-66 [18.8K]

Answer:

(5×7)-(5×6) = 5×(7-6)

5 0
3 years ago
Is it true that for any two nonzero integers the product and quotient have the same sign?
Nataliya [291]
<span>The rule of signs is the same for multiplication and division. Two numbers with the same sign, multiplied or divided, the answer is positive. Two numbers with different signs, multiplied or divided, the answer is negative. </span>
7 0
3 years ago
If 3a + b + c = -3, a+3b+c = 9, a+b+3c = 19 find a*b*c
VashaNatasha [74]

Answer:

a=-4

b=2

c=7

so therefore a*b*c=-4*2*7

5 0
3 years ago
Other questions:
  • How to write a polynomial function with rational coefficients in standard form with the given zeros?
    15·1 answer
  • "find the third length of the right triangle. give an exact answer and an approximation" HELP PLS
    14·1 answer
  • Determine the y-intercept of the following parabola:<br> y = (x - 3)(x + 7)
    14·2 answers
  • Classify an equiangular triangle by its angles.
    10·1 answer
  • Find the term of 7 10 13 which is 46.
    5·1 answer
  • The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased. A graph titled D
    15·2 answers
  • Which polynomial identity will prove that 117 = 125 − 8?
    12·2 answers
  • PLLLLLLEEEEEEEEZZZZZZZZZ AAAAAANNNNSSSSSEEEEERRRRRR will give brainlist! One million dollars! A megayacht! FIVE STARS!
    14·2 answers
  • Identify the correct weight to the nearest 1\8 pound, then reduce the fraction if possible.
    14·1 answer
  • a scale drawing of a rectangular garden has a length of 5 inches and a width of 3.5 inches if the scale is 1 in : 3ft, what is t
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!