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
Corresponding Angles are congruent.
SpyIntel [72]

Answer:

\measuredangle  6

Step-by-step explanation:

\measuredangle 6 corresponds with \measuredangle 2

4 0
3 years ago
Question 1 mean and median practice
RideAnS [48]
What question do u need help with?
3 0
3 years ago
What is the solution set to the inequality 7z+5>47
Vsevolod [243]

Answer:

z>6

<h2>Step-by-step explanation:</h2>

7z+5>47

Remove the 5:

7z+5-5>47-5\\7z>42

Divide by 7 to get z by itself:

\frac{7z}{7} >\frac{42}{7} \\z>6

5 0
3 years ago
if you're at the state fair with some friends and deciding between buying a jumbo pack of 50 ride tickets for $45 or medium pack
Mandarinka [93]
The jumbo pack is a better price!
4 0
2 years ago
Given g(x)=−x−2, solve for x when g(x) =0
prohojiy [21]

Answer:

anser is 2x nark me as brainlest please

5 0
2 years ago
Read 2 more answers
Other questions:
  • Help help plz about to fail
    11·1 answer
  • Find the compound interest on John’s savings of ₦150,000 for 2 years at 7% per annum
    13·1 answer
  • Which statement is true?
    10·2 answers
  • Weegy solve the system of equations 2x+3y=40 and -2x+2y=20
    8·1 answer
  • Solving for y what is 3x-4y=-8<br> solving for y what is 3x-4y=-8
    8·1 answer
  • what number should be added to the expression x^2 + 10x to change it into a perfect square trinomial?​
    9·2 answers
  • 6x2 - 21 = 33; Solve and what are the x-intercepts of this quadratic equation ?
    6·1 answer
  • What fraction plus what fraction that are the same equals to 3/4 シ
    15·2 answers
  • What is 5PX7P^3 simplified?
    13·1 answer
  • HELP!!! please this is my last question for my paper
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!