Question

Solve the equation: sin(2x) = 0.35 Where 0° ≤ x ≤ 360°. Give your answers to 1 d.p.

74

likes
368 views

Answer to a math question Solve the equation: sin(2x) = 0.35 Where 0° ≤ x ≤ 360°. Give your answers to 1 d.p.

Expert avatar
Fred
4.4
71 Answers
$\sin\left({2x}\right)=\frac{ 7 }{ 20 }$
$2x=\arcsin\left({\frac{ 7 }{ 20 }}\right)$
$\begin{array} { l }2x=\arcsin\left({\frac{ 7 }{ 20 }}\right),\\2x={180}\degree-\arcsin\left({\frac{ 7 }{ 20 }}\right)\end{array}$
$\begin{array} { l }\begin{array} { l }2x=\arcsin\left({\frac{ 7 }{ 20 }}\right)+{360}\degreek,& k \in ℤ\end{array},\\2x={180}\degree-\arcsin\left({\frac{ 7 }{ 20 }}\right)\end{array}$
$\begin{array} { l }\begin{array} { l }2x=\arcsin\left({\frac{ 7 }{ 20 }}\right)+{360}\degreek,& k \in ℤ\end{array},\\\begin{array} { l }2x={180}\degree-\arcsin\left({\frac{ 7 }{ 20 }}\right)+{360}\degreek,& k \in ℤ\end{array}\end{array}$
$\begin{array} { l }\begin{array} { l }x=\frac{ \arcsin\left({\frac{ 7 }{ 20 }}\right) }{ 2 }+{180}\degreek,& k \in ℤ\end{array},\\\begin{array} { l }2x={180}\degree-\arcsin\left({\frac{ 7 }{ 20 }}\right)+{360}\degreek,& k \in ℤ\end{array}\end{array}$
$\begin{array} { l }\begin{array} { l }x=\frac{ \arcsin\left({\frac{ 7 }{ 20 }}\right) }{ 2 }+{180}\degreek,& k \in ℤ\end{array},\\\begin{array} { l }x={90}\degree-\frac{ \arcsin\left({\frac{ 7 }{ 20 }}\right) }{ 2 }+{180}\degreek,& k \in ℤ\end{array}\end{array}$
$\begin{array} { l }\begin{array} { l }x\approx{10.2}\degree+{180}\degreek,& k \in ℤ\end{array},\\\begin{array} { l }x\approx{79.8}\degree+{180}\degreek,& k \in ℤ\end{array}\end{array}$

Frequently asked questions (FAQs)
What is the measure of the third angle in a triangle if the other two angles are 30° and 90°?
+
Question: What is the vertex form of the quadratic function f(x) = x^2 + 6x + 9? Provide the coordinates of the vertex in the format (h, k).
+
What is the mean, mode, median, range, and average of the given data set: 8, 5, 12, 8, 10, 9?
+
New questions in Mathematics
Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95
What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?
A car that starts from rest moves for 11 min, reaching a speed of 135 km/h, calculate the acceleration it had
The length and breadth of my rectangular vegetable garden is 12,5m and 7,25m respectively. What is the perimeter of the garden?
2. Juan is flying a piscucha. He is releasing the thread, having his hand at the height of the throat, which is 1.68 meters from the ground, if the thread forms an angle of elevation of 50°, at what height is the piscucha at the moment that Juan has released 58 meters of the thread?
1. Suppose we have a good whose quantity supplied changed from 100 to 120 units when the price increased from $10 to $12 per unit. Compute the price elasticity of supply using the midpoint method
Analyze the following situation Juan is starting a new business, he indicates that the price of his product corresponds to p=6000−4x , where x represent the number of tons produced and sold and p It is given in dollars. According to the previous information, what is the maximum income that Juan can obtain with his new product?
What is the r.p.m. required to drill a 13/16" hole in mild steel if the cutting speed is 100 feet per minute?
find all matrices that commute with the matrix A=[0 1]
Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%
A warehouse employs 23 workers on first​ shift, 19 workers on second​ shift, and 12 workers on third shift. Eight workers are chosen at random to be interviewed about the work environment. Find the probability of choosing exactly five first ​-shift workers.
If X1 and X2 are independent standard normal variables, find P(X1^2 + X2^2 > 2.41)
Find the center coordinates and radius of a circle for an equation written as: 3x2 + 3y2 - 6y = —12× + 24
Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)
Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.
P 13. Let P a point inside of a square ABCD. Show that the perpendicular lines drawn from A, B, C, respectively D, to BP, CP, DP, respectively AP are concurrent. Use geometric rotation.
8. Measurement Jillian measured the distance around a small fish pond to be 27 yards. What would be a good estimate of the distance across the pond: 14 yards, 9 yards, or 7 yards? Explain how you decided.
Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.