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2 years ago

Rewrite with only sin x and cos x Cos 2x*l+sin x

Mathematics

1 answer:

liberstina [14]2 years ago

4 0

Answer:

sin(2x) = 2sinxcosx

cos(2x) = cos2x - sin2x

sin(2x) - cos(2x) = 2 sinx cosx - (cos2x - sin2x)

sin(2x) - cos(2x) = 2 sinx cosx -cos2x + sin2x

You might be interested in

O 12 units O 15 units O 20 units O 25 units

nadezda [96]

Answer:

12 units

Step-by-step explanation:

Because the two triangles are similar:

$\dfrac{x}{9}=\dfrac{16}{x} \\\\\\\dfrac{x^2}{9}=16 \\\\\\x^2=144 \\\\\\x=12$

Hope this helps!

3 0

2 years ago

Lorenzo and his sister, Mariana, are decorating gingerbread houses. They want to make grass, so they turn their icing green by m

Alexandra [31]

Answer:

lorenzo

Step-by-step explanation:

because he has added more blue shade which will make the icing darker , Mariana's icing will be lighter as she added less blue shade :)

8 0

2 years ago

A taxi travels 25 km east of airport. Then it travels from that point to a point that is 40 km west of the airport. Finally the

Marizza181 [45]

The answer is: " 95 km " .
__________________________________________________
Explanation:
__________________________________________________

 ("airport")
• {Step 1): " 25 km east " •
│===============================> │

• {Step 2): " 40 km west ["of that point"] " ; • │<==========================================│

 • {Step 3: [back to airport] = " (40 km − 25 km) " ;

 • ("airport").
│=======>│
 _________________________________________________

 Note: To find "total distance traveled:

" 40 km + (40 km) + (40 km − 25 km) " ;

= " 40 km + (40 km) + (15 km) " ;

= " 40 km + 40 km + (15 km) " ;

= 80 km + 15 km ;

= 95 km .
____________________________________________________

The answer is: " 95 km " .
____________________________________________________

4 0

3 years ago

ANSWER MY QUESTION PLEASE

mina [271]

When you plug the equation into a graphing calculator the x-intercept is -5
Or you can set the equation equal to 0 and solve for x.

6 0

3 years ago

A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021

egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

A is approximately 2020.022

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

$\displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}$

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

$\displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}$

Therefore, for the last term we have;

$\displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}$

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

$\displaystyle \frac{A}{2} = \mathbf{ 1011 \cdot \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460} \right)}$

$\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2} +\frac{1}{2} - \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022} \right)$

Which gives;

$\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2022} \right)$

$\displaystyle A = 2 \times 1011 \cdot \left(1 - \frac{1}{2022} \right) = \frac{1032231}{511} \approx \mathbf{2020.022}$

A ≈ 2020.022

Learn more about the sum of a series here:

brainly.com/question/190295

8 0

2 years ago

Read 2 more answers