1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serggg [28]
3 years ago
6

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

Mathematics
1 answer:
Bess [88]3 years ago
3 0
sin (2 \alpha) =2\cdot sin  \alpha \cdot cos  \alpha \\cos(2 \alpha )=1-2sin^2  \alpha \\-------------------- \\cos2x-sin2x=1-2sin2x\\cos2x+sin2x=1\\1-2sin^2x+2sinx\cdot cosx=1\\-2sinx(sin x-cosx)=0\\ -2sinx=0\ \ \ \ or\ \ \ \ sinx-cosx=0\\\\1)\ -2sinx=0\ \ \Leftrightarrow\ \ sinx=0\ \ \Leftrightarrow\ \ x_1=k \pi \ \ and\ \ k\in I\\2)\ \ sinx-cosx=0\ \ \Leftrightarrow\ \ sinx=cosx\ /:cosx\ \ \ \ \ \wedge\ \ \ \  cos x \neq 0\\tanx=1\ \ \Leftrightarrow\ \ x_2= \frac{ \pi }{4} +k \pi \ \ and\ \ k\in I
You might be interested in
Which product is better to buy small 18 ounces for $3.25 or large 32 ounces for 5.50
labwork [276]

Answer:

the 32 ounce is the better buy

Step-by-step explanation:

if you bought two small products the ounces would equal up to 36 but then the cost would be more than 5.50 it would be 6.50

8 0
3 years ago
I need help with this . I don’t get how
Svetradugi [14.3K]
Simply collect like terms, numbers and or variables that have the same number and type of variable.

For example 15x^2 and 10x^2 are like terms. Circle the sign in front of the term to perform the correct operation.







5 0
3 years ago
Choose the graph of the function <br><br>g(x) = 2 x 4^x
dexar [7]

Answer:

its B

Step-by-step explanation:

hope it helped you

8 0
3 years ago
Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)
Contact [7]

cosU:-

\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25

As U lies in Q3

  • cosU=-24/25

sinV

\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4

As V lies in Q3

  • sinV=-3/5

So

  • sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=<u>4</u><u>4</u><u>/</u><u>1</u><u>2</u><u>5</u>
  • cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125
3 0
2 years ago
I’m not good at math at all please help sum 1
oee [108]

Answer:

1,2

Step-by-step explanation:

R is 2 to the left and 1 up from the origin. If you rotate that 90 degrees its 2 up and 1 to the right.

Hole you Understand

8 0
3 years ago
Other questions:
  • In 2010 Singapore welcome 11600000 overseas visitors.This value has been rounded off to the nearest 100000.What are the largest
    5·1 answer
  • What is 12,430,000 in expanded form
    15·2 answers
  • Multiply out and simplify the expression (n+1)^2-(n+1)+1​
    14·2 answers
  • What is 5a+18&lt;-27 ???
    12·2 answers
  • On circle OOO below, the measure of \stackrel{\LARGE{\frown}}{SV} SV ⌢ S, V, start superscript, \frown, end superscript is 120^\
    6·1 answer
  • What is the point-slope form and standard form of (3,1) and (4, 2)?
    8·1 answer
  • Martin had to buy some cleaning materials.
    13·1 answer
  • At the snack bar, a hot dog costs $1.50 and a slice of pizza costs $2. What percent of the cost of a slice of pizza is a cost of
    13·2 answers
  • Question in pic. please answer!
    8·1 answer
  • 1.<br> Y = C/X<br> Solve for x<br><br> 2.<br> C/5 = (F-32)/9 <br> If C=25, solve for F
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!