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
irga5000 [103]
3 years ago
6

Given cosΘ=2/3 and sinΘ>0, find sinΘ

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0

Answer:

sinΘ = √5/3

Step-by-step explanation:

Mathematically, we know that the cos of an angle is the ratio of the adjacent to the hypotenuse

The sine of an angle is the ratio of the opposite to the hypotenuse

So in this case, from the cosine given; adjacent is 2 and hypotenuse is 3

From the Pythagoras’ theorem, we can get the opposite

Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the opposite as x

3^2 = 2^2 + x^2

9 = 4 + x^2

x^2 = 9-4

x^2 = 5

x = √5

This root can be positive or negative

But since the sine is positive, we shall be considering only the positive root

Thus;

sine theta = √5/3

You might be interested in
Describe how to find all the points on a baseball field that are equidistant from second base and third base
BlackZzzverrR [31]
This might help explain how to do a very similar problem.... http://www.mathopenref.com/constbisectline.html
8 0
3 years ago
Justin‘s gas tank is 3/10 full after he buys 14 gallons of gas it is 4/5 full how many gallons can Justin‘s tank hold
dangina [55]

Answer:
I can help, its 45

6 0
2 years ago
Why do turtles not have shells equal to pie when their body is completely equal on all sides
Rus_ich [418]

Answer:

because they do

Step-by-step explanation:

7 0
3 years ago
Two triangles are similar, and the ratio of the corresponding sides is 1:5, and which of the following is true?
IrinaK [193]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate
Nastasia [14]

Answer:

Step-by-step explanation:

Absolute zero, the lowest temperature possible, is defined as being exactly 0 K and −273.15 °C. Until 19 May 2019, the temperature of the triple point of water was defined as exactly 273.16 k

5 0
3 years ago
Other questions:
  • Find the length of the missing side. The diagram is not drawn to scale. (Please explain how to get to the answer)
    7·1 answer
  • When you multiply two prime numbers together the answer is always an odd number?
    5·1 answer
  • Is 16 ponds greater than 16 oz
    15·1 answer
  • You have a 13 foot long ladder and need to climb to a 12 foot tall roof. If you put the top of the ladder at the top of the wall
    8·1 answer
  • If x = 3, then x^2 = 3x what property
    6·1 answer
  • Order the ratios from least to greatest 6:3 13 to 4 19/2 15 to 10 8:2
    7·1 answer
  • How do i convert a number to a scientific notation
    9·1 answer
  • Helpp picture about
    9·1 answer
  • Could someone please help??? "What is the simple interest that is missing from the table? Use the formula 1 = prt "
    7·1 answer
  • what is the area of a regular hexagon ABCDEF if ab is 2 units? Express your answer in simplest radical form.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!