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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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What is the value of the fourth term in the geometric sequence
ivanzaharov [21]

Answer:

a(4) = 15/4

Step-by-step explanation:

Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.

Thus, the geometric sequence formula specific to this case is

a(n) = 30(1/:2)^(n-1).

What is the fourth term?  Let n = 4,

a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or  a(4) = 30(1/8) = 30/8, or, in reduced form,

a(4) = 15/4.

6 0
2 years ago
Write a numerical expression for the calculation.
Naddik [55]

Answer:

(64-23)8.3

Step-by-step explanation:

Solve the parenthesis first, then multiply

hope this helps! :)

3 0
3 years ago
In the video Mouse Count, Miss Ashley read a book about a snake that captured mice and placed them one-by- one in a jar for his
spin [16.1K]

Based on the fact that the snake was placing the mice one - by - one into a jar, this is A. Combining sets.

<h3>What does combining sets entail?</h3>

When sets are combined, it means that numbers from a certain set of variables are combined with those from another set.

The snake had captured the mice separately which means they were in different sets. Putting them into one jar means they are being combined so this is combining sets.

Find out more on number and operations standards at brainly.com/question/20628271.

#SPJ1

7 0
2 years ago
Colin pays £766.45 a year on his car insurance.
Firlakuza [10]

Answer:

£807.8383

Step-by-step explanation:

100 plus 5.4= 1.054%

1.054 x £766.45=£807.8383

7 0
3 years ago
Given the functions f(x)=1x−2+1 and g(x)=1x+5+9 .
____ [38]
For this problem you would look at the difference between the two equations. Left and right is determined by the -2 and the +5 in the problems, to get from -2 to +5, you would add 7 but (and i dont really know how to explain the reasoning for this) whenever this number is positive, it goes left and whenever it is negative, it goes right. Figuring out if it shifts up or down is the same, look at the numbers +1 and +9 in the equations. If you go from +1 to +9, you would be adding 8, and this makes it shift upward.

Therefore the answer is the third one: the graph shifts 7 units left and 8 units up
8 0
3 years ago
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