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Stels [109]
2 years ago
8

Prove that

20" id="TexFormula1" title=" \frac{1 }{ \sin(x) \times \cos(x) } " alt=" \frac{1 }{ \sin(x) \times \cos(x) } " align="absmiddle" class="latex-formula">
equals 2csc2x
​
Mathematics
1 answer:
konstantin123 [22]2 years ago
3 0

Answer:

See below for proof

Step-by-step explanation:

2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}

Thus, the identity is proven

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2 The value of y is directly proportional
rusak2 [61]

Answer:

y = 17.5

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 35 when x = 140, then

35 = 140k ( divide both sides by 140 )

0.25 = k

y = 0.25x ← equation of proportion

When x = 70, then

y = 0.25 × 70 = 17.5

4 0
3 years ago
Rút gọn biểu thức <br> x^2-3/x+√3
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Answer:

i dont understand

Step-by-step explanation:

7 0
2 years ago
(4.161 x 10^2) + (4.56 x 10^3)
VladimirAG [237]
Convert to stand both expressions to standard form:
416.1 + 4,560

Add:
4,976.1
5 0
2 years ago
It costs $5.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental.
iren [92.7K]

5.15 x 5 = 25.75

25.75 + 3.75 = 29.5

So your answer is $29.50

Hope it helps! :D

6 0
2 years ago
stion 1 OT 5A researcher recorded the number of swans and the number of ducks in a lake every month. Function s represents the n
Anon25 [30]

Given functions are

s(n)=2(1.1)^n+5_{}d(n)=4(1.08)^n+3

The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).

t(n)=s(n)+d(n)

t(n)=(2(1.1)^n^{}+5)+(4(1.08)^n+3)

t(n)=2(1.1)^n+5+4(1.08)^n+3

t(n)=2(1.1)^n+4(1.08)^n+5+3

t(n)=2(1.1)^n+4(1.08)^n+8

Taking 2 as common, we get

t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack

Hence The total number of ducks and swans in the lake after n months is

t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack

8 0
1 year ago
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