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
faust18 [17]
2 years ago
13

Someone please help me with this lol… have no idea what I’m doing

Mathematics
1 answer:
Sholpan [36]2 years ago
6 0

Given:

\cos \theta =\dfrac{3}{5}

\sin \theta

To find:

The quadrant of the terminal side of \theta and find the value of \sin\theta.

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

\cos \theta =\dfrac{3}{5}

\sin \theta

Here cos is positive and sine is negative. So, \theta must be lies in Quadrant IV.

We know that,

\sin^2\theta +\cos^2\theta =1

\sin^2\theta=1-\cos^2\theta

\sin \theta=\pm \sqrt{1-\cos^2\theta}

It is only negative because \theta lies in Quadrant IV. So,

\sin \theta=-\sqrt{1-\cos^2\theta}

After substituting \cos \theta =\dfrac{3}{5}, we get

\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}

\sin \theta=-\sqrt{1-\dfrac{9}{25}}

\sin \theta=-\sqrt{\dfrac{25-9}{25}}

\sin \theta=-\sqrt{\dfrac{16}{25}}

\sin \theta=-\dfrac{4}{5}

Therefore, the correct option is B.

You might be interested in
If the vehicles are divided evenly between the sections, how many vehicles are in each section?
solmaris [256]
That would depend on how many vehicles there are. The question is not complete.
5 0
3 years ago
How do you evaluate logarithms? Explain using an example or mathematical evidence to support your answer.
kenny6666 [7]

Answer: Explanation below.

Step-by-step explanation:

First of all you need to know how to convert a logarithm into an exponential expression. The property is:

log_Bx=n

This is the same as: B^n=x

Example 1:

log_99=

We are trying to find what to raise 9 to, in order to get a result of 9.

9^x=9

When you have same bases, you equal exponents.

x=1

Therefore; log_99=1

Example 2:

log_232=

2^x=32

In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as: 2^5 which is 2*2*2*2*2

Rewriting this example we have;

2^x=2^5

Since we have the same base, we equal exponents.

x=5

Therefore; log_232=5

Example 3:

log_3729=

3^x=729

729 can have a base of 3 if expressed as: 3^6

3^x=3^6

x=6

6 0
3 years ago
Read 2 more answers
The function g(x) = (x + 2)2 + 4 is a transformation of the parent function f(x) = x2. Select all the statements that are true a
Xelga [282]

Answer:

c

Step-by-step explanation:

ssthdfudthv jiffh ixxn. SB. more nkgda big vd n

7 0
3 years ago
Find the value of x.
Westkost [7]

Answer:

The answer is x= 8

Step-by-step explanation:

Since the side is tangent to the circle then the triangle is right-angled and applying the Pythagorean law, we get the value of x

{17}^{2}  =  {15}^{2}  +  {x}^{2}  \\  {x }^{2}  = 289 - 225 = 64 \\ x = 6

8 0
3 years ago
Giving brainleist help!
kenny6666 [7]
The answer is b hope it helps
5 0
2 years ago
Other questions:
  • What is 40/3 as a mixed number?
    13·2 answers
  • D={x | x is an integer and -3 < x <1
    5·1 answer
  • Describe the dimensions of two different prisms that each have a volume of 2,400 cubic centimeters
    5·2 answers
  • Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\] <img src="https://tex.z-dn.net/?f=Find%20the
    11·1 answer
  • the volume of a rectangular prism is represented by the function x3+6x-16. the length of the box is x + 2 , while the height is
    13·1 answer
  • How to divide (x^2+5x-36)÷(x-4)
    14·1 answer
  • , draw and label examples of all rectangular prisms built with 16 unit cubes
    11·1 answer
  • Guess this riddle it’s about thanksgiving
    7·2 answers
  • An item costs S430 before tax, and the sales tax is $17.20.
    7·1 answer
  • 4/5 x 1/4 Write the answer in simplest form.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!