MATHEMATICS HIGH SCHOOL

How do you do...
cos2x-sin2x=1-2sin2x

Answers

Answer 1
Answer: sin (2 \alpha) =2\cdot sin \alpha \cdot cos \alpha \ncos(2 \alpha )=1-2sin^2 \alpha \n-------------------- \ncos2x-sin2x=1-2sin2x\ncos2x+sin2x=1\n1-2sin^2x+2sinx\cdot cosx=1\n-2sinx(sin x-cosx)=0\n -2sinx=0\ \ \ \ or\ \ \ \ sinx-cosx=0\n\n1)\ -2sinx=0\ \ \Leftrightarrow\ \ sinx=0\ \ \Leftrightarrow\ \ x_1=k \pi \ \ and\ \ k\in I\n2)\ \ sinx-cosx=0\ \ \Leftrightarrow\ \ sinx=cosx\ /:cosx\ \ \ \ \ \wedge\ \ \ \ cos x \neq 0\ntanx=1\ \ \Leftrightarrow\ \ x_2= ( \pi )/(4) +k \pi \ \ and\ \ k\in I

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Which difference will be positive?

-4 - (-5)
-4 - 3
8 - 9
-6 - (-4)

Answers

The 1st one -4 - (-5) equals 1

help asapBenjamin wants to find the surface area of this prism. Which unit of measurement should Benjamin use? A. m B. m² C. m³

Answers

As surface area is a two-dimensional measurement, Benjamin should use m².

Add. Write your answer in simplest form.
2/5+2/5+3/5

Answers

Hello,

2/5+ 2/5 + 3/5= 7/5
=================
7/5 in simplest form

What is the distance between the points (-6, 7) and(-1, 1)? Round to the nearest whole unit.


I need ASAP plzzzz

Answers

Answer: The distance is

8

Step-by-step explanation:
Answer:


The distance has to be 8

Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true? a) m<1=m<2 b)m<4=m<6 c) m<3+m<5=90 degrees d)m<7=m<8

Answers

If the numbering of the angles is similar to this:
1 | 2
-----
3 | 4
5 | 6
----
7 | 8

Then none of the the choices are necessarily true.

The equations would have been:
1 = 4 = 5 = 8
2 = 3 = 6 = 7
3 + 5 = 4 + 6 = 180

Answer:

answer is D

Step-by-step explanation:

Kwikset Enterprises sold 300 shares of stock at $12.34 per share. The underwriting commission was 5.8%. To the nearest cent, how much did Kwikset Enterprises make on its sale of stock, after subtracting the underwriting commission?

Answers

Kwikset has 300 shares in the stock. He sold it for 12.34 dollars per share:
So:
=> 300 * 12.43 dollars = 3702 dollars is the total money that she get after selling the stocks.
Now, it will be deducted by 5.8% commission.
=> 3702 * .058 = 214.716
=>  3702 - 214.716 = 3487.284 dollars 
or -3487.28 dollars.
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What two numbers multiply to 44 and add up to 12?