If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)
Answers
EXPLANATION:
Given that
sin θ = 1/2
We know that
sin 3θ = 3 sin θ - 4 sin³ θ
⇛sin 3θ = 3(1/2)-4(1/2)³
⇛sin 3θ = (3/2)-4(1/8)
⇛sin 3θ = (3/2)-(4/8)
⇛sin 3θ = (3/2)-(1/2)
⇛sin 3θ = (3-1)/2
⇛sin 3θ = 2/2
⇛sin 3θ = 1
and
cos 2θ = cos² θ - sin² θ
⇛cos 2θ = 1 - sin² θ - sin² θ
⇛cos 2θ = 1 - 2 sin² θ
Now,
cos 2θ = 1-2(1/2)²
⇛cos 2θ = 1-2(1/4)
⇛cos 2θ = 1-(2/4)
⇛cos 2θ = 1-(1/2)
⇛cos 2θ = (2-1)/2
⇛cos 2θ = 1/2
Now,
The value of sin 3θ /(1+cos 2θ
⇛1/{1+(1/2)}
⇛1/{(2+1)/2}
⇛1/(3/2)
⇛1×(2/3)
⇛(1×2)/3
⇛2/3
Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.
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What is the quotient? -4/5 ÷ 2
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Answer:
s = 19°Step-by-step explanation:
opposite angles = equal angles
so
106 = 6s - 8
114 = 6s
s = 114 : 6
s = 19°
--------------- check
106 = 6 * 19 - 8
106 = 106
the answer is good
Which of the following satisfies 2x^2 + 5x = 7?
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B) x = (-2)
C) x = 5
D) x = 0
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it's C. y = 1/2x + 2
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Answer: what are you asking im lost
Step-by-step explanation:
2^8 - (4+6)
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Is (9, –6) a solution to this system of inequalities?
17x + 12y > 19
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Answers
Answer:
Yes
Step-by-step explanation:
( 9 , -6 )
17(9) + 12(-6) > 19
153 + (-72) > 19
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If the diameter of a circle is [tex]\sqrt{144}[/tex] then what is the radius?
Answers
Hey there!
√144
= 12^2
= 12 * 12
= 144
Therefore, your answer should be: 12
Side note: There’s many ways to find the result of the square root but I just made it “easier” to solve and tackle future problems like this on your own.
Anyways
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
plzzz what is the difference between the 15th square number and the 7th square number
Answers
Answer:
176
Step-by-step explanation:
15² - 7² = (15+7)*(15-7) = 22*8 = 176
check: 225 - 49 = 176
\sqrt((x-(1)/(2))^(2))=3.5
Answers
Answer:
8
Step-by-step explanation:
sqrt((x-1)/2)^2))=3.5
square root and squared cancel out
(x-1)/2 = 3.5
x-1 = 7
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If A=−2x+8 and B=2x−4, find an expression that equals 2A+B in standard form.
Answers
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Step-by-step explanation:
2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12
A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answers
Answer:
C
Step-by-step explanation:
[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]
Answer: Choice A) -3, 11, -45, 179, ...
=====================================================
Explanation:
1st term = -3
new term = -4*(previous term) - 1
2nd term = -4*(1st term) - 1
2nd term = -4*(-3) - 1
2nd term = 12 - 1
2nd term = 11
The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.
When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.
On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.
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Step-by-step explanation:
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Bye, hope this helps you succeed in school!
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c.17
d.71
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Answer:
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Step-by-step explanation:
Answer:
B. 0.70
Step-by-step explanation:
Just divide the total amount of money by the total amount of people.
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Answers
Answer:
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#2
[tex]\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10[/tex]
#3
[tex]\\ \sf\hookrightarrow 5(x+3)\geqslant 5[/tex]
#4
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#5
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Answer:
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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r = d/t
Solution
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Answers
Answer:
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Step-by-step explanation:
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Answers
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In your textbook, you will see it this way:
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Answers
Answer:
5.96 x 36 = 214.56.
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Answer:
The worker worked about 8 hours overtime.
Step-by-step
First we figure out how much they made without overtime.
Multiply 5.96 x 36 and you would get 214.56
Then we figure out how many hours he worked overtime
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Question 2 options:
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5:2
2)
3:5
3)
2:5
4)
5:3
Answers
Answer:
50:30 or 50/30
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Step-by-step explanation:
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