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
sweet-ann [11.9K]
2 years ago
5

Solve trigonometric function cos2∅ + sin∅ × csc∅ / sin2∅

Mathematics
2 answers:
ankoles [38]2 years ago
8 0

Answer:

\cot(\theta)

Step-by-step explanation:

<u>Trig identities</u>:

\csc(\theta)=\dfrac{1}{\sin(\theta)}

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

\cos(2\theta)=cos^2(\theta)-sin^2(\theta)

\implies \cos(2\theta)=2cos^2(\theta)-1

\implies2cos^2(\theta)= \cos(2\theta)+1

\sin(2\theta)=2\sin(\theta)\cos(\theta)

Therefore,

\dfrac{\cos(2\theta)+\sin(\theta) \times \csc(\theta)}{\sin(2\theta)}

=\dfrac{\cos(2\theta)+\dfrac{\sin(\theta)}{\sin(\theta)}}{\sin(2\theta)}

=\dfrac{\cos(2\theta)+1}{\sin(2\theta)}

=\dfrac{2cos^2(\theta)}{\sin(2\theta)}

=\dfrac{2cos^2(\theta)}{2\sin(\theta)\cos(\theta)}

=\dfrac{cos(\theta)}{\sin(\theta)}

=\cot(\theta)

aliina [53]2 years ago
3 0

Answer:

Step-by-step explanation:

\sf Formula: \\\\\sin 2 \theta    =  2 \sin \theta  \cos \theta


\text {\sf \Large Solution :}

\cos 2 \theta +\dfrac{\sin \theta\cdot \cos \theta  }{\sin 2 \theta }  = \\\\\ \cos 2 \theta +\dfrac{\sin \theta\cdot \cos \theta}{2\sin \theta\cdot \cos \theta}  =\boxed{\cos 2 \theta +\dfrac{1}{2} }

You might be interested in
Solve using quadratic formula. 2x^2+6x+3=0
guapka [62]
x = \frac{-b +/-  \sqrt{b^{2} -4ac} }{2a}

a = 2
b = 6
c = 3

x = \frac{-6 +/- \sqrt{6^{2} -4*2*3} }{2*2}

x = 0.634 or x = -2.366
4 0
3 years ago
Line q contains the points, (1, 5) and (1, 8). What is the relationship between the slope of line q and the slope of the x-axis?
ehidna [41]

Answer:

A. Line <em>q</em> slope is undefined and x-axis has a slope of 0

Step-by-step explanation:

These ordered pairs have identical x-coordinates, therefore the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]<em> </em>is undefined.

I am joyous to assist you anytime.

6 0
3 years ago
Read 2 more answers
A car travels 0.75 miles every minute, how could you explain how to use proportional reasoning to find how far the car travels i
VikaD [51]

Answer: 45 miles in one hour

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The ice skating rink charges an hourly fee for skating and $3 to rent skates for the day. Gillian rented skates and skated for 3
avanturin [10]

Answer:

7 hours

Step-by-step explanation:

$21 divided by 3 equals 7 hours

3 0
3 years ago
Read 2 more answers
The cost to purchase a movie from Move Time is 3.00 per movie as well as a 10.00 membership fee. To purchase a movie from Movie
Anvisha [2.4K]

Answer:

20

Step-by-step explanation:

Let x represent the number of movies bought/downloaded

3x + 10 = 2x +30

Subtract 2x and 10 from both sides

x = 20

8 0
4 years ago
Read 2 more answers
Other questions:
  • If |z - 7| - 2 = 2, then z = -3 /amp; z = -11 true or false
    8·2 answers
  • Given the function f(x) = x^4 + 3x^3 - 2x^2 - 6x - 1, use intermediate theorem to decide which of the following intervals contai
    7·2 answers
  • I am have trouble with these x-intercepts. Please help me.​
    15·2 answers
  • Will someone plz help with these??<br> 18 and 19
    8·2 answers
  • An airplane is traveling at a speed of 60 meters per second. Identify the correct conversion factor setup required to compute th
    10·1 answer
  • Which of the following is true?
    15·1 answer
  • What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?
    6·1 answer
  • Two cross roads, each of width 10 m, cut a right angles through the centre of a rectangular park of length 700 m and breadth 300
    14·1 answer
  • What the opposite integer of 10
    11·2 answers
  • How to find the following slope-intercept form?<br><br> Y-3=7/9(x-4)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!