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
baherus [9]
3 years ago
12

What basic trigonometric identity would you use to verify that sin x +1/ sin x=1 +csc x

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0

Answer:  The correct option is (c). \csc x=\dfrac{1}{\sin x}.

Step-by-step explanation:  We are given to select the correct basic identity that we will use to verify the following:

\dfrac{\sin x+1}{\sin x}=1+\csc x.

We have

\dfrac{1+\sin x}{\sin x}\\\\\\=\dfrac{1}{\sin x}+\dfrac{\sin x}{\sin x}\\\\\\=1+\dfrac{1}{\sin x}.

In order to verify the given trigonometric equation, we must have

1+\dfrac{1}{\sin x}=1+\csc x\\\\\\\Rightarrow \dfrac{1}{\sin x}=\csc x\\\\\\\Rightarrow \csc x=\dfrac{1}{\sin x}.

Thus, the required identity that we will use is

\csc x=\dfrac{1}{\sin x}.

Option (c) is CORRECT.

You might be interested in
A Japanese beetle has length between 0.3 and 0.5 inches.Find two lengths that are within the given span. Write them as fraction
Wittaler [7]
<span>A Japanese beetle’s length are equals to
=> 0.3 inches
=> 0.5 inches

Now let’s find the length that is between the span of the two given length:
But before that let’s convert the 2 given numbers in decimal points to fraction:
=> 0.3 = 3/10
=> 0.5 = 5/10

Find the fraction between the given 2 numbers:
=> 0.3
=> 0.4
=> 0.5

Therefore the number we are looking 0.4
=> 0.4 = 4/10
Now, we have the complete length of Japanese beetles, the 0.3, 0.4 and 0.5</span>



5 0
4 years ago
Triangle MAT is similar to Triangle RUG. Complete the statement: Line segment
Oduvanchick [21]
It would be corresponding to RG.
3 0
3 years ago
Read 2 more answers
Identify the terminal point for a 45° angle in a unit circle.O A. (24)O B. (1.)Oc. (1,1)O D. (2,3)
Liula [17]

(x, y) = ( cos 45, sin 45) =

=\text{ (}\frac{\sqrt[]{2}}{2}\text{ , }\frac{\sqrt[]{2}}{2}\text{ )}

The correct option is A

4 0
1 year ago
If the combined area of the white and orange regions is 100π, what is the area of ONLY the orange region?
7nadin3 [17]
<span>64π</span><span> is correct, since the </span>area<span> of the white </span>circle<span> is 36</span>π, and 100π<span> - 36</span>π<span> = 64</span>π<span>.</span>
3 0
4 years ago
Read 2 more answers
When Nikki and Kara worked together last year, they painted a fence in 8 hours. The previous year, Nikki painted the fence by he
motikmotik
I believe d is the answer please contact me if its wrong
7 0
4 years ago
Other questions:
  • The value of x − y is negative, and x and y are both positive. What can you conclude about the values of x and y?
    13·1 answer
  • Which of the following has an x-intercept of 2 and a y-intercept of -4?
    6·2 answers
  • Simplify. (28mn2+34m2n)−(14mn2−16m2n+13)
    7·1 answer
  • Solve for z <br> Z=4/9-1/3=5/9
    7·1 answer
  • Help me.............
    15·1 answer
  • Here plz answer and I’m bored ahf
    12·2 answers
  • FAST
    14·1 answer
  • Greta bought a bunch of grapes that weighed 3 pounds 6 ounces. How many ounces is this?
    5·1 answer
  • Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice
    13·1 answer
  • A uniform density curve goes from negative 5 to positive 1.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!