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
Elanso [62]
3 years ago
14

Show with work please.

Mathematics
1 answer:
kolbaska11 [484]3 years ago
3 0

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that \text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)

-\text{cos} \left(\theta\right)

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

\text{sec}(-\theta)=\text{sec}(\theta)

And, \text{sec}(\theta)=-0.73

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

You might be interested in
Yu narukami fight me rigth now⇆⇆π⇒ωω↑ω⊇→→∧∉⇔⇒ππ∠⇄㏑∡⇄⇆→←βαβ∀∀⊅⊄ФФω≅
Andru [333]
Nani!? Omae wa mou shindeiru
3 0
3 years ago
Read 2 more answers
Inequality of -3x - 6 < 50
il63 [147K]

Answer:

0

Step-by-step explanation:

look it up on google :)

3 0
3 years ago
Which shows the correct substitution of the value a, b, and c from the equation 0=-3x^2-2x+6 into the quadratic formula?
AysviL [449]

Step-by-step explanation:

it should be letter A on edge2020

7 0
3 years ago
Find the product 538 x 100=
Georgia [21]
538 x 100 = 53,800
Therefore the product is 53,800.
4 0
3 years ago
Read 2 more answers
Court reporters type every word spoken during trials and hearings so that there is a written record of what
Schach [20]

Answer:did you ever find the answer?

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • The hypotenuse of a 30°-60°-90° triangle measures 10 inches. Which could be the length of a leg of the triangle?​
    5·1 answer
  • X^2y^8/x^7y^6 if x= -2 and y= 4
    5·1 answer
  • During the day,Sam spent $4.85 on lunch.he also bought 2 books for $7.95 each. At the end of the day we had $8.20 left how much
    10·1 answer
  • Paige’s income statement for the month of December is shown. Paige monthly income statement for December. Total wages are 1,850
    5·1 answer
  • Solve for W<br><br> -1=W-17​
    11·1 answer
  • (2x/3)-(5x/9)-(x/6)-(5x/12)=13/2 this equation is equivalent to:
    5·1 answer
  • On your wedding day you leave for the church 30 minutes before the ceremony is scheduled to start. The church is only 10 miles a
    5·1 answer
  • X^2-11x+30=2 <br> Solve using quadratic formula or factoring
    7·1 answer
  • O (1.4)<br> O (0.6)<br> O (2, 3)<br> O (5,0)
    6·2 answers
  • which equation represents a proportional relationship that has a constant of proportionality equal to ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!