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Virty [35]
2 years ago
6

Prove, cotx -tanx= 2 cot2x

Mathematics
1 answer:
ra1l [238]2 years ago
4 0

Step-by-step explanation:

<em>cotx-</em><em> </em><em>tanx</em><em>=</em><em> </em><em>2cot2x</em>

<em>L.H.S</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>cosx</em><em>/</em><em>sinx-</em><em> </em><em>sinx</em><em>/</em><em>cosx</em><em> </em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>cos</em><em>²</em><em>x-</em><em> </em><em>sin</em><em>²</em><em>x</em><em>)</em><em>/</em><em> </em><em>sinxcosx</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>[</em><em> </em><em>cos</em><em>²</em><em>x-</em><em>(</em><em>1</em><em>-cos</em><em>²</em><em>x</em><em>)</em><em>]</em><em>/</em><em>sinxcosx</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em> </em><em>2cos</em><em>²</em><em>x-1</em><em>)</em><em>/</em><em>sinxcosx</em>

<em> </em><em> </em><em> </em><em>2cosx</em><em>/</em><em> </em><em>2sinxcosx</em>

<em> </em><em> </em><em> </em><em>2cot2x</em>

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F(n)=5.(-2)n-1<br>Complete the recursive formula of f(n).​
Alex73 [517]

Answer:

a(n) = (-2)(a_{n-1})

a_{1}=5

Step-by-step explanation:

The given expression is in the form of the explicit formula of a geometric sequence.

f(n) = a(r)^{n-1}

Where 'a' = First term of the sequence

r = common ratio

Recursive formula of a geometric sequence is,

a(n) = (a_{n-1}).(r)^{n-1}

a(n) = (-2)(a_{n-1})

Where, a_{1}=5

So the recursive formula will be a(n) = (-2)(a_{n-1})

6 0
3 years ago
What is between 3/8 in a number line
storchak [24]
Okay I hope this is what you mean. so if you are saying what is between the numbers 3 and 8 we can make an inequality which will cover all the small decimals between the numbers.

There are 2 different equalities that I'm not sure which one you want.

so the first one would be
3 \leqslant x \leqslant 8
x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.

If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be
3 < x < 8
In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.


If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.
3 0
2 years ago
Work out the unknown angles. Give reasons for each answer.
zalisa [80]
A)

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62+α+90=180

α+152=180

α=28°

b)

Since all sides have equal length, all angles must have equal measure.  (This is an equilateral triangle).  And again, because the sum of the angle must be 180° we can say:

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8 0
2 years ago
PLEASE HELP ASAP 30 POINTS!! Show all work!
Mazyrski [523]

Answer:

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3 0
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An elephant can run of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant runs i
Mice21 [21]

<u>Answer:</u>

The expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour

<u>Solution:</u>

Given that,

Distance covered by an elephant in 36 seconds is equal to 1 mile

Therefore, <em>distance covered by the elephant in 1 second</em> is  \frac{1}{36} mile

Therefore, <em>distance covered by the elephant in 60 seconds</em> (60 seconds = 1 minute) is

\frac{1}{36} \times 60=\frac{5}{3} \text { miles }

Therefore, <em>distance covered by the elephant in 60 minute</em> (60 minute = 1 hour) is

\frac{5}{3} \times 60=100 \text { miles per hour }

Hence the expression that can be used to determine how fast an elephant runs in miles per hour is 100 miles per hour

7 0
3 years ago
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