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zhuklara [117]
3 years ago
10

Prove the identity with steps.

Mathematics
1 answer:
Sav [38]3 years ago
4 0
Remember that a double angle formula for cosine is
\cos(2x)=\cos^{2}x-\sin^{2}x

So
\cos^{2}(2x)-\sin^{2}(2x)=\cos(4x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos(2*2x)
\rightarrow \cos^{2}(2x)-\sin^{2}(2x)=\cos^{2}(2x)-\sin^{2}(2x)
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Question 5 Unsaved
Otrada [13]

We can use the compound interest formula

F=P(1+i)^n

where

F=Future value of investment to be found

P=present value of investment ($1000)

i=interest per period (1/4 year)=0.04/4=0.01

n=number of periods (3 years * 4 quarters = 12)


Substitute or "Plug in" values, so to speak,

F=1000*(1+0.01)^12

use a calculator to do the sum

=1126.83 (to the nearest cent, and use the proper rounding rules)



3 0
3 years ago
lina went to the playground. she played on the swings for 45 minutes and went on the slide 15 minutes. it was 1:15 p.m. when lin
Aleksandr [31]
The answer to this problem is 12:15
8 0
3 years ago
Read 2 more answers
Ralph and Waldo start in towns that are 70 miles apart and travel in opposite directions for 4 hours.
Lina20 [59]

Answer:

Step-by-step explanation:

Let Waldo's speed = W

Let Ralph's speed = W + 15

A

Waldo's distance = speed * Time

Time = 4 hours.

Speed = w

distance = 4 * w

B

Ralph's speed is W + 15. It's not clear if you need a number. We'll get around to that later.

C

Ralph traveled  4*(W + 15)

D

4w + 70 + 4(W + 15) = d

You really can't get a definite answer to these questions. Even if you knew whether they were heading away from each other or towards each other it wouldn't help.

6 0
3 years ago
Which expression is equivalent to |8|+|-7|​
maks197457 [2]

Answer:

8 + 7.

Step-by-step explanation: It is absolute value.

3 0
1 year ago
Which equation below would be best solved by using the addition property of equality?
Svetradugi [14.3K]

Answer: F-23=45

Step-by-step explanation:

The addition property of equality means that if:

A = B

then we can add the same thing in both sides of the equation, and the equality will remain balid, so:

A + C = B + C.

Then, the correct answer is the last option:

if

F - 23 = 45

Then we can add the same number to both sides, we can add 23 to both sides and in this way isolate F:

F - 23 = 45

(F - 23) + 23 = 45 +23 = 68

F + (23 - 23) = 68

F = 68

8 0
3 years ago
Read 2 more answers
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