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
Grace [21]
4 years ago
11

Which of the following trigonometric expressions is equivalent to csc(-112°)? csc(68°)

Mathematics
2 answers:
amid [387]4 years ago
7 0

Answer:

Step-by-step explanation:

To find: \csc \left ( -112^{\circ} \right )

Solution:

Trigonometric expression is an expression consisting of trigonometric ratios like \sin ,\tan ,\cos ,\csc ,\cot ,\sec

Trigonometric ratios refers to the relation between the sides of right angled triangle and it's angles.

We know that angle -112^{\circ} lies in the fourth quadrant in which \csc is negative

So, \csc \left ( -112^{\circ} \right )=-\csc \left ( 112^{\circ} \right )

We can write -\csc \left ( 112^{\circ} \right )=-\csc \left ( 180^{\circ}-68^{\circ} \right )

We know that angle 180^{\circ}-68^{\circ}=112^{\circ} lies in second quadrant in which \csc is positive

-\csc \left ( 180^{\circ}-68^{\circ} \right )=-\csc68^{\circ}

Therefore, we get

\csc(-112^{\circ})=-\csc(112^{\circ})=-\csc \left ( 180^{\circ}-68^{\circ} \right )=-\csc68^{\circ}

Romashka-Z-Leto [24]4 years ago
4 0

Answer:

csc(-112°)=-csc(68°)

Step-by-step explanation:

Since cosec(x) and sin(x) are reciprocals of each other,

cosec(-112°)=\frac{1}{sin(-112^{\circ})}

                  =\frac{1}{-sin(112^{\circ})}

                 =\frac{1}{-sin(180^{\circ}-68^{\circ})}     (since 112=180-68)

                 =\frac{1}{-sin(68^{\circ})}              (since sin(180-x)=sinx)

                 =\frac{-1}{sin(68^{\circ})}               (since \frac{a}{-b}= \frac{-a}{b})

                 =-cosec(68°)

You might be interested in
Josiah did a survey of his 24 classmates to find out how many have at least one pet at home. •the number of classmates that did
Sphinxa [80]
I think it's B because 8x3=24
8 0
3 years ago
Simplify 3(3x - (2-6y + 2x) + 3y)<br>LILL​
ryzh [129]

Answer:

=3x+27y−6

Step-by-step explanation:

3(3x−(2−6y+2x)+3y)

=(3)(3x+−2+6y+−2x+3y)

=(3)(3x)+(3)(−2)+(3)(6y)+(3)(−2x)+(3)(3y)

=9x−6+18y−6x+9y

=3x+27y−6

7 0
3 years ago
A bag contains 4 green 4 red 2 blue crayons, what is the probability of random choosing 2 red crayons without replacement
Ede4ka [16]
10 crayons in all.
P (red) = 4/10 or 2/5
P (2nd red) = 3/9 =1/3  since there are only 9 crayons left from which to choose and only three of them are red (since we already pulled one).

2/5  x 1/3 = 2/15  = P (2 red) with no replacement.
4 0
3 years ago
Read 2 more answers
An expression is shown below:
Dmitry [639]

Answer:

Is rational and equal 2

8 0
4 years ago
Read 2 more answers
How long will it take an object dropped from a window to fall a distance of 78.4 meters?
Free_Kalibri [48]
As you said it was dropped so in that case I'll take 78.4 meters as the height..
we know that
h = ut + 0.5*g*t(sqr)
t(sqr) = 78.4/(0.5*9.8) [g = 9.8 ms-2]
t = √16
t = 4
So it'd take 4 seconds
7 0
3 years ago
Read 2 more answers
Other questions:
  • Hurry please! The table shows the results of a survey about favorite movie theater snacks.Write a fraction in simplest form that
    9·1 answer
  • Find the total of 38 and 42
    11·2 answers
  • I need help with the answer.
    13·2 answers
  • According to recent studies, in a random sample of 24 employed adults, you would expect that about 2 of them would be using an i
    11·1 answer
  • Plssssss help I need an answer
    8·1 answer
  • Which answer choice correctly represents the quotient of 4,741 divided by 12?
    11·1 answer
  • Two consecutive positive integers have a product of 6 what are the integers
    14·1 answer
  • What are the coordinates of the vertes of the parabola described by the equation below?
    14·1 answer
  • Given below are lease terms at the local dealership. What is the total cash due at signing? Terms: Length of lease = 18 months M
    6·1 answer
  • 1,3,1,3,15,18,23,28,33 two numbers that are divisible by 4
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!