Ask question

Ask question

All categories

2 years ago

6

Solve : cos X + sin X = 0 Pls all answers in radians thanks

1 answer:

Alisiya [41]2 years ago

4 0

<span>cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

<em>tan(x) = -1</em>

x = 135° and 315°

x = 3/4 pi radians and 7/4 pi radians
</span>

You might be interested in

54*8+6+14= what's the answer

dybincka [34]

<span>54*8+6+14
Multiply 54 by 8
432 + 6 + 14
Add 6 to 432
438+14
Add
Final Answer: 452

</span>

5 0

3 years ago

33, 25, 42, 25, 31, 37, 46,29,38<br>What is the first quartile of the data?

NISA [10]

answer:
Step by step solution:
1) put the numbers in order:
25,25,29,31,33,37,38,42,46
2) find the median:
25,25,29,31,33,37,38,42,46
33
3) find the median of the first quartile:
25,25,29,31
25 and 29
25+29= 54
54/2
27
Q1= 27

6 0

3 years ago

(a+200)÷400=2 тендеу

Oksana_A [137]

Answer: a=600

Step-by-step explanation:

(a+200)/400=2

a+200=2×400=800 so

a+200=800

a=600 because 800-200=600

Hope this helps. Stay healthy and safe and have a blessed and wonderful day and I hope you had a good Easter!

- Cutiepatutie

5 0

3 years ago

Read 2 more answers

A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

<u>At, </u>

<u>n = 1</u>

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

<u>At, </u>

<u>n = 2</u>

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

<u>At, </u>

<u>n = 3</u>

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

<u>At, </u>

<u>n = 4</u>

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

2 years ago

If there are 5,280 feet in a mile, how many feet are in 2.6 miles?

Katen [24]

The correct answer is 13,728

Hope this helps!

8 0

3 years ago

Read 2 more answers