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
34kurt
2 years ago
13

Solve the equation for all real solutions.

Mathematics
1 answer:
horsena [70]2 years ago
3 0

Can you reformat the question?

You might be interested in
Let O be an angle in quadrant III such that cos 0 = -2/5 Find the exact values of csco and tan 0.​
vivado [14]

well, we know that θ is in the III Quadrant, where the sine is negative and the cosine is negative as well, or if you wish, where "x" as well as "y" are both negative, now, the hypotenuse or radius of the circle is just a distance amount, so is never negative, so in the equation of cos(θ) = - (2/5), the negative must be the adjacent side, thus

cos(\theta)=\cfrac{\stackrel{adjacent}{-2}}{\underset{hypotenuse}{5}}\qquad \textit{let's find the \underline{opposite side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{5^2 - (-2)^2}=b\implies \pm\sqrt{25-4}\implies \pm\sqrt{21}=b\implies \stackrel{III~Quadrant}{-\sqrt{21}=b}

\dotfill\\\\ csc(\theta)\implies \cfrac{\stackrel{hypotenuse}{5}}{\underset{opposite}{-\sqrt{21}}}\implies \stackrel{\textit{rationalizing the denominator}}{-\cfrac{5}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies -\cfrac{5\sqrt{21}}{21}} \\\\\\ tan(\theta)=\cfrac{\stackrel{opposite}{-\sqrt{21}}}{\underset{adjacent}{-2}}\implies tan(\theta)=\cfrac{\sqrt{21}}{2}

4 0
2 years ago
Someone please helpp meeeee?!?!!
Marianna [84]

Answer:

Goodluck I had this before and couldn't get it

8 0
2 years ago
Read 2 more answers
Find the volume of a right circular cone that has a height of 8.9 ft and a base with a
xxMikexx [17]

Answer:

1186.16

Step-by-step explanation:

8 0
2 years ago
Graph the equation y=x+7
Otrada [13]
HERE IT IS!!!


I HOPE THIS IS GOOD ENOUGH

8 0
3 years ago
I need help! Please show all the steps and work! :)
SashulF [63]
I don’t know tskskssososksosososkxx
8 0
2 years ago
Other questions:
  • What is 20% off of 30?
    12·2 answers
  • Solve for k: -2k = k - 7 - 8 and explain in number form
    14·1 answer
  • To estimate your average monthly salary , divide your yearly salary by the number of months in a year .Write and solve an equati
    6·1 answer
  • Plz help. it would be greatly appreciated
    9·1 answer
  • A company had 9 x 10^6 dollars
    8·1 answer
  • What is the product (-6a^3b+2ab^2)(5a^2-2ab^2-b)
    6·2 answers
  • The line y+2x=b is perpendicular to a line that passes through the origin. If the two lines intersect at one point (k+2,2k), wha
    11·1 answer
  • Explain how to determine whether two known pairs of<br> points are on the same line.
    14·2 answers
  • A square playground has an area of 279 ft. ² What is the approximate length of each side of the playground?
    7·1 answer
  • 3 (a - 1) + 31 - 11a = 4 ( 2a + 3)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!