All categories

2 years ago

2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Mathematics

1 answer:

Temka [501]2 years ago

7 0

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

You might be interested in

g For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction trace

tamaranim1 [39]

Answer:

a) See the file below, b) $s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$ , c) $s \approx 9.715$

Step-by-step explanation:

a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.

b) The arc length formula is:

$s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$

c) The perimeter of that arc is approximately:

$s \approx (\frac{1}{4} + \frac{1}{8})\cdot 2 \pi\cdot \sqrt{\frac{3^{2}+5^{2}}{2} }$

$s \approx 9.715$

5 0

3 years ago

I NEED help with a math problem.

Mazyrski [523]

Answer:

109

Step-by-step explanation:

You can brute-force this:

Candidate numbers that are divisable by 13 if you take away 5: 18 , 31 , 44 , 57 , 70 , 83 , 96 , 109 , 122 , 135 , 148

Candidate numbers that are divisable by 14 if you take away 11: 25 , 39 , 53 , 67 , 81 , 95 , 109 , 123 , 137

Only 109 is in both lists.

8 0

3 years ago

Read 2 more answers

In the figure below, m2 1=(x-12)° and mZ2 =5xº. Find the angle measures.

erma4kov [3.2K]

Answer:

15 165

Step-by-step explanation:

m1 + m2 = 180

x-18 +5x = 180

6x = 198

x = 33

m1 = 15

m2 = 165

6 0

2 years ago

Someone please help me

bearhunter [10]

B. triangle and triangular prism

6 0

2 years ago

Help please! Identify an equation in point slope form for the line perpendicular to Y =-4x + 8 that passes through (-2, 7)

777dan777 [17]

Answer:

D. $y-7=\frac{1}{4}(x+2)$

Step-by-step explanation:

The point-slope form of a line is given by:

$y-y_1=m(x-x_1)$

The line given to us has equation; $y=-4x+8$ .

The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.

Our slope of interest is therefore; $m=\frac{1}{4}$

Since the point goes through (-2,7), we have $x_1=-2,y_1=7$ .

We plug in the slope and the point into the point-slope formula to obain;

$y-7=\frac{1}{4}(x--2)$

The required equation is:

$y-7=\frac{1}{4}(x+2)$

3 0

2 years ago