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spayn [35]
3 years ago
7

Help please trigonometric identities

Mathematics
2 answers:
ikadub [295]3 years ago
8 0
Sin^2x ( 1 + cot^2x) = 1
Change cot^2x to cos/sin
Sin^2x(1+cos^2x/sin^2x))=1
Distribute the sin^2x
Sin^2x + cos^2x = 1
1 = 1
bija089 [108]3 years ago
3 0
Cot=cos/sin

so, it becomes sin^2+cos^2=1

that proves it
You might be interested in
Which polygon matches this set of ordered pairs
d1i1m1o1n [39]

Answer:

A

Step-by-step explanation:

To solve this problem, we can just locate all the points listed in the problem.

The ordered pairs match the rectangle which is answer choice A.

3 0
3 years ago
Read 2 more answers
On a certain hot​ summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for
VladimirAG [237]

Answer:

327 children and 318 adults

Step-by-step explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

  1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

         1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

                        0.75y=238.5

Divide both sides by 0.75

                                y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day

4 0
2 years ago
The function f(x) varies directly with x, and f(x) = 45 when x = 9.
Paladinen [302]

Answer:

Option C = 15

Step-by-step explanation:

In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>

In the given question we know that <em>f(x) = 45</em> when x=9<em>, </em>which translates as

f(x=9) = 45

This tells us that f(x) varies by a factor (lets call it) a for a given value of x.

To find this factor we can just divide 45 with 9 which gives: \frac{45}{9} = 5

Thus the factor a here is a=5 which finally tells us that

f(x) = 5x    Eqn (1) our original function.

Since we now know our function we can plug in the value for x=3 and solve for f(x=3) as follow:

f(x=3)= 5*3

f(x=3) = 15

f(3) = 15

Looking at the given options in the question we can conclude that the correct answer is Option C = 15

3 0
3 years ago
QUICK I NEED HELP PLEASE!
seraphim [82]
Assuming you meant is - \frac{3}{5} x+ \frac{1}{5} \ \textgreater \  720

The answer would be :
- \frac{3}{5} x\ \textgreater \ 719.8

x \ \textless \  \frac{719.8}{ \frac{-3}{5} }
x\ \textless \  719.8 *( \frac{-5}{3} )
x\ \textless \  \frac{-3599}{3}

Hope this helps !

Photon

However, your equation seems weird :o

8 0
3 years ago
DON'T ANSWER IF U WONT COME PLZ<br><br> plz join deq hbtu mfh
Molodets [167]

Answer:wdym?

Step-by-step explanation:

8 0
3 years ago
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