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
lakkis [162]
2 years ago
11

If sin3X+cos3X=1/2.Find the value of X.​

Mathematics
1 answer:
-BARSIC- [3]2 years ago
6 0

Step-by-step explanation:

Solve for xsin3⁡x+cos3⁡x=1" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xsin3x+cos3x=1xsin3⁡x+cos3⁡x=1

sin3⁡x+cos3⁡x=1(sin⁡x+cos⁡x)(sin2⁡x−sin⁡x⋅cos⁡x+cos2⁡x)=1(sin⁡x+cos⁡x)(1−sin⁡x⋅cos⁡x)=1" role="presentation" style="margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">sin3x+cos3x=1(sinx+cosx)(sin2x−sinx⋅cosx+cos2x)=1(sinx+cosx)(1−sinx⋅cosx)=1

You might be interested in
What's the answer please
WARRIOR [948]
B is the correct answer
5 0
3 years ago
Read 2 more answers
A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t
Iteru [2.4K]

Answer:

5

Step-by-step explanation:

According to the described rule, we have

a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}

We can see the pattern

a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11

In other words, for all k\ge 2

a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11

Now,

a_{2018}=a_{3\cdot 673-1}=5

7 0
3 years ago
I need help with finding 25 different numbers that add up to 51. It must be a six digit number. Example would be 6+7+5+8+9+6 = 4
USPshnik [31]
What you could do it is. Start adding numbers and once you get close to
6 numbers See if you are close to 51 and switch around the numbers to make it equal 51 hope this helps
6 0
3 years ago
Write a word phrase for the expression 16 divide (x=4)
Ipatiy [6.2K]

Answer:the quotient of 16 and x=4

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
3x+5y=12 solve for x
Ivenika [448]

Answer:

x=4-5/3y

Step-by-step explanation:

3x+5y=12 make x on one side

3x=12-5y divide everything by 3

x=4-5/3y

7 0
3 years ago
Other questions:
  • What is equivalent to 7/8+9/15
    13·1 answer
  • **PLEASE HELP MATH!! 3 QUESTIONS**
    8·1 answer
  • Solve the following system of equations <br> x + y =-5 <br> -3x - y =7
    6·2 answers
  • The diameter of a circle is 6ft. Find it’s area to the nearest tenth
    11·1 answer
  • When ø=5pi/3, what are the reference angle and the sign values for sine, cosine, and tangent? (2
    10·2 answers
  • brad is drawing 2 polygons.one polygons has 2 more angles than the other.what shapes could he be drawing​
    15·1 answer
  • (x² – 2x - 4) (x² – 3x-5)​
    6·1 answer
  • PLS HELP IN NEED NOW HAVE 5 MIN PLS
    14·2 answers
  • Please help!!
    13·2 answers
  • Solve the inequality x/5-3&lt;0
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!