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pshichka [43]
4 years ago
6

Cos^(2)x=(cscxcosx)/(tanx+cotx)

Mathematics
1 answer:
bixtya [17]4 years ago
6 0
\cos^2 x = \dfrac{\csc x \cos x}{\tan x + \cot x}

\cos^2 x = \dfrac{\csc x \cos x}{\dfrac{\sin x}{\cos x} + \dfrac{\cos x}{\sin x}}

\cos^2 x = \dfrac{\csc x \cos x}{\frac{\sin x}{\cos x} \times 
\frac{\sin x}{\sin x} + \frac{\cos x}{\sin x} \times \frac{\cos x}{\cos 
x}}

\cos^2 x = \dfrac{\csc x \cos x}{\frac{\sin^2 x}{\sin x \cos x} + \frac{\cos^2 x}{\sin x \cos x}}

\cos^2 x = \dfrac{\csc x \cos x}{\frac{1}{\sin x \cos x}}

\cos^2 x = \csc x \cos x \sin x \cos x

\cos^2 x = \dfrac{1}{\sin x} \cos x \sin x \cos x

\cos^2 x = \cos^2 x
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Both questions please
Nataly [62]
Let there be h 50 cent coins (call them halfs), d 10 cent coins (dimes) and n 5 cent coins (nickles).  

81 coins:

h+d+n=81

Three more dimes than halfs:

d=h+3

Nickels are twice halfs plus dimes:

n=2(h+d)

Three equations in three unknowns.  We'll eliminate n first:

n=81-(h+d)=2(h+d)

81=3(h+d)

h+d=27

Substituting d=h+3

h+h+3=27

2h=24

h=12

d=h+3=15

n=2(h+d)=2(27)=54

Check we have the right number of coins:

h+d+n=12+15+54=81 \quad\checkmark

Good.   The amount of money is

50h+10d+5n=0.50(12)+0.10(15)+0.05(54)=\$10.20

Part 2.

a for amount Tim gave cousin.  Initially Tim has $146.65, cousin $10.55

After he gave the money Tim had twice as much:

146.65 - a = 2(10.55 + a)

146.65 - a = 21.10 + 2a

146.65 - 21.10 = 3a

a = \dfrac{146.65 - 21.10}{3}= 41.85

That's the answer to b.  After the transfer the cousin has 10.55+41.85=\$52.40


4 0
3 years ago
Finding the nth term of this sequence: (by the way I'm learning quadratic sequences=
Paul [167]

Answer:

n^2+2n+1

Step-by-step explanation:

-2-8-18-32-50

difference=-6-10-14-18

common differences=-4-4-4-4-4

 -2-8-18-32-50

n^2=1,4,9,16,25

minus it

=-1,-4,-9,-16,-25

differences 2,5,7,9

common differences=2

2,4,6,8

so 2n+1

so the answer is n^2+2n+1

8 0
3 years ago
Solve equality and inequalities 9/4(w-1/9)=7/2
alexdok [17]
The Answer To This Problem Is  W=5/3 DownLoad Photo Math For These kinda questions, it will give you all the answers 
7 0
3 years ago
Help pls I’ve been stuck on this for 20 min
lesya [120]

Answer:

the answer should be 3146 because you have 11 cm for both length and width and you have also 11cm height but there is also 15 cm height for the triangle so if you times all of them together it should give you 3146

6 0
4 years ago
Whata the equivalent fraction of 4/4​
PilotLPTM [1.2K]

Answer:

The equivalent fraction 1/1 which would also be just a whole number 1

4 0
4 years ago
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