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brilliants [131]
3 years ago
13

Simplify and write the trigonometric expression in terms of sine and cosine:

Mathematics
1 answer:
asambeis [7]3 years ago
4 0

Answer:

we have the expression as;

1/sin u cos u

Step-by-step explanation:

tan u = sin u/cos u

cot u = cos u/sin u

Thus;

sin u/cos u + cos u/sin u

The lcm is sin u cos u

Thus, we have that;

(sin^2 u + cos^2 u)/sin u cos u

But ; sin^2 u + cos^2 u = 1

so we have ;

1/sin u cos u

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Given the area of a circle is 201.06cm2, find the diameter and circumference.
mestny [16]

given the area of circle o6.

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2 years ago
Read 2 more answers
10n -11 =3 + 4n + 6n​
MrRissso [65]

Answer:

10n -11 =3 + 4n + 6n​

10n - 10n -11 =3-3 + 4n + 6n​

-11 - 3 = -10n + 4n + 6n

-14= -10n + 10n

-14 = n

Step-by-step explanation:

10n -11 =3 + 4n + 6n​

10n - 10n -11 =3-3 + 4n + 6n​

-11 - 3 = -10n + 4n + 6n

-14= -10n + 10n

-14 = n

3 0
2 years ago
Angles ABC and DBE are vertical angles, with angle ABC = 4x, and angle DBE =( 2x+18)
Dmitrij [34]
 V<span>ertical angles are equal.
We have 4x = 2x + 18.
Then, 2x = 18;
x = 18 </span>÷ 2;
x = 9 degrees;
The measure of angle DBE is 2 × 9 + 18 = 36 degrees.
3 0
3 years ago
Subtract and write out in minutes and seconds 87 seconds from 100 seconds
alexandr402 [8]

Answer:

  00:13  mm:ss

Step-by-step explanation:

There are 60 seconds in a minute. This fact can be used to convert the time period(s) to minutes and seconds either before or after you do the subtraction.

<h3>Difference</h3>

It is often convenient to do arithmetic with all of the numbers having the same units. Here, we are given two values in seconds and asked for their difference.

  100 s - 87 s = (100 -87) s = 13 s

The difference between the two time periods is 0 minutes and 13 seconds.

<h3>Conversion</h3>

If you like, the numbers can be converted to minutes and seconds before the subtraction. Since there are 60 seconds in a minute, the number of minutes is found by dividing seconds by 60. The remainder is the number of seconds that will be added to the time in minutes:

  87 seconds = ⌊87/60⌋ minutes + (87 mod 60) seconds

  = 1 minute 27 seconds

  100 seconds = ⌊100/60⌋ minutes + (100 mod 60) seconds

  = 1 minute 40 seconds

Then the difference is found in the same way we would find a difference involving different variables. (A unit can be treated as though it were a variable.)

  (1 min 40 s) -(1 min 27 s) = (1 -1 min) + (40-27 s) = 0 min 13 s

The difference between the two time periods is 0 minutes and 13 seconds.

5 0
1 year ago
If u = 8 + 4i and v = 3i + 6, then what is u – v?
lozanna [386]
u=8+4i\ and\ v=31+6\\\\u-v=(8+4i)-(3i+6)=8+4i-3i-6=(8-6)+(4i-3i)\\\\\huge\boxed{=2+i}\leftarrow \boxed{d}
7 0
3 years ago
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