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
kati45 [8]
2 years ago
15

If sin θ =8/9. Find cot θ.

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
7 0

Step-by-step explanation:

✧ \underline{ \underline{ \large{ \tt{G\: I \: V \: E\: N}}} }:

  • \large{ \tt{sin \:  \theta =  \frac{8}{9}}} Here , Perpendicular ( p ) = 8 & hypotenuse ( h ) = 9

♨ \underline{ \underline{ \large{ \tt{ T \: O \:  \: F \: I\: N\: D}}}} :

  • \large{ \tt{cot  \: \theta}}

♨ \underline{ \underline{ \large{ \tt{S \: O \: L\: U \: T\: I\: O \: N}}}} :

  • First, Find the base ( b ) using Pythagoras theorem :

☪ \boxed{ \bf{ {h}^{2} =  {p}^{2} +  {b}^{2}   }}

~Plug all the known values and then simplify!

⇾ \large{ \bf{ {9}^{2}  =  {8}^{2}  +  {b}^{2} }}

⇾ \large{ \bf{81 = 64 +  {b}^{2} }}

⇾ \large{ \bf{64 +  {b}^{2}  = 81}}

⇾ \large{ \bf{ {b}^{2}  = 81 - 64}}

⇾ \large{ \bf{ {b}^{2}  = 17}}

⇾ \large{ \bf{b =  \sqrt{17}}}

  • Now , Find the value of cot θ

We know ;

⟿ \large{ \bf{cot \theta =  \frac{b}{p}  =  \boxed{ \bf{ \frac{ \sqrt{17} }{8}}}}}

⤷ \boxed{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer :  { \tt{ \frac{ \sqrt{17} }{8} }}}}}}}

( Correct me if I'm wrong )

Hope I helped ! ♡

Have a wonderful day / night ! ツ

☄ Let me know if you have any questions regarding my answer !

\underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

You might be interested in
Plot the points (2, 4) and (2, -8) on the coordinate plane below.
bazaltina [42]
They are 12 units apart
3 0
3 years ago
What is the answer for -8(w-6=32
vladimir2022 [97]
The answer would be 2 because the problem(after rewriting it) is -8w+48=32. so then you subtract 48 from both sides and get -8w=-16. then divide both sides by -8 and you get 2
4 0
3 years ago
A box of 42 chocolates contains milk and dark chocolates in the ratio of 3:4. How many chocolates of each type there are?
Elza [17]
<h2>Answer:The number of milk chocolates are 18 and the number of dark chocolates are 24.</h2>

Step-by-step explanation:

Let the number of milk chocolates be m.

Let the number of dark chocolates be d.

Given that the box contains the milk and dark chocolates in the ratio 3:4.

So,\frac{m}{d}=\frac{3}{4}               ...(i)

Given that the total number of chocolates are 42.

So,m+d=42.                                   ...(ii)

Using (i) and (ii),

m+\frac{4}{3}m=42

\frac{7}{3}m=42

m=18

d=\frac{4}{3}m=\frac{4}{3}\times 18=24

So,the number of milk chocolates are 18 and the number of dark chocolates are 24.

4 0
3 years ago
ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)
Delicious77 [7]
remember
ln(x)=log_e(x)
and
log_x(a)-log_x(b)= log_x( \frac{a}{b} )
and
log_a(b)=c means a^c=b
and
blog(a)=log(a^b)



so

ln(y+1)-ln(y)=1+3ln(x)
ln( \frac{y+1}{y} )=1+ln(x^3)

minus ln(x^3) from both sides

ln( \frac{y+1}{y}-ln(x^3) )=1
ln( \frac{y+1}{yx^3})=1
log_e( \frac{y+1}{yx^3})=1

translate

e^1=\frac{y+1}{yx^3}
e=\frac{y+1}{yx^3}

times both sides by yx^3

eyx^3=y+1

minus y from both sides

eyx^3-y=1
y(ex^3-1)=1

divide both sides by (ex³-1)

y= \frac{1}{ex^3-1}
6 0
3 years ago
Read 2 more answers
How can you show your work on rounding
MAXImum [283]
U can show your work by underlining what your rounding and showing which place it is it the right of it but there is no mathematical work
6 0
3 years ago
Read 2 more answers
Other questions:
  • Amy and John shared 150 peaches. (1/3) of what Amy has equals to (1/2) of what John has. How many does Amy have? How many does J
    9·2 answers
  • Which of the following is an example of a flexible expense? a. car insurance c. Internet connection b. clothes d. rent
    11·2 answers
  • The length of a rectangle is one meter more than 4 times its width. Find the dimensions if the perimeter is 52 meters
    8·1 answer
  • Mrs smith invests £30,000 (some in a 5% account, some in an 8% account). After the year shes earned £2100. How much did she put
    12·1 answer
  • A kite is designed on a rectangular grid with squares that measure 1cm by 1 cm. A hexagonal piece within the kite will be reserv
    12·1 answer
  • Evelyn has a first name, 2 middle names, and a last name. In how many different ways could Evelyn arrange the initials of her na
    6·1 answer
  • Robert wants to fence in his backyard that is 28 feet by 26 feet. how much fencing does he need?
    7·1 answer
  • The ratio of ebooks to novels is 4:5. if there are 32 ebooks how many novels are there?
    6·1 answer
  • Show work please thank you.
    7·1 answer
  • PLS HELP !! i’m not very good at math and can’t find the answer anywhere
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!