Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 3*x/3=(1-x)/2
-
Equation tan(x)=-5
-
Equation 3*x^2-8*x-3=0
-
Equation x*572-318=260514
- Express {x} in terms of y where:
- 11*x-6*y=-1
- -8*x-15*y=-12
- 18*x-15*y=-7
- 14*x-4*y=14
- Graphing y =:
- sinx+tgx
-
sin2x
- Derivative of:
-
sin2x
- Sum of series:
- sin2x
-
Identical expressions
- sinx+tgx=sin2x
- sinus of x plus tgx equally sinus of 2x
-
Similar expressions
- 5sin^2(x)+2sin(x)cos(x)-cos^2(x)=1
- 2*sin(2*x)+sin(x)=0
- 12*sin(2*x)+sin(x)+cos(x)+6=0
- sin(2x)+sin(6x)=2cos(2x)
- sinx-tgx=sin2x
sinx+tgx=sin2x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
sin(x) + tan(x) = sin(2*x)
$$\sin{\left(x \right)} + \tan{\left(x \right)} = \sin{\left(2 x \right)}$$
Sum and product of roots
[src]
sum
4*pi 2*pi 2*pi 4*pi - ---- - pi - ---- + ---- + pi + ---- + 2*pi 3 3 3 3
$$\left(\left(\left(\left(\left(- \frac{4 \pi}{3} - \pi\right) - \frac{2 \pi}{3}\right) + \frac{2 \pi}{3}\right) + \pi\right) + \frac{4 \pi}{3}\right) + 2 \pi$$
=
2*pi
$$2 \pi$$
product
-4*pi -2*pi 2*pi 4*pi
0*-----*(-pi)*-----*----*pi*----*2*pi
3 3 3 3
$$2 \pi \frac{4 \pi}{3} \pi \frac{2 \pi}{3} \cdot - \frac{2 \pi}{3} \cdot - \pi 0 \left(- \frac{4 \pi}{3}\right)$$
=
0
$$0$$
0
Rapid solution
[src]
x1 = 0
$$x_{1} = 0$$
-4*pi
x2 = -----
3
$$x_{2} = - \frac{4 \pi}{3}$$
x3 = -pi
$$x_{3} = - \pi$$
-2*pi
x4 = -----
3
$$x_{4} = - \frac{2 \pi}{3}$$
2*pi
x5 = ----
3
$$x_{5} = \frac{2 \pi}{3}$$
x6 = pi
$$x_{6} = \pi$$
4*pi
x7 = ----
3
$$x_{7} = \frac{4 \pi}{3}$$
x8 = 2*pi
$$x_{8} = 2 \pi$$
x8 = 2*pi
Numerical answer
[src]
x1 = -29.3215314335047
x2 = 40.8407044966673
x3 = 0.0
x4 = -85.870199198121
x5 = -87.9646059792427
x6 = 34.5575191894877
x7 = 54.4542726622231
x8 = -97.3893722612836
x9 = 52.3598775598299
x10 = -75.3983042200839
x11 = -21.9911485751286
x12 = -94.2477116475917
x13 = 65.9734457253857
x14 = -31.4160033843292
x15 = 58.6430628670095
x16 = -79.5870138909414
x17 = -53.4070751110265
x18 = -6.28310944449968
x19 = -9.42477796076938
x20 = -48.1710873550435
x21 = 85.870199198121
x22 = -6.28322282383301
x23 = -34.5575191894877
x24 = -75.3981427700933
x25 = 2.0943951023932
x26 = 96.342174710087
x27 = 21.9911485751286
x28 = 50.2654784086518
x29 = 100.530899251714
x30 = -96.342174710087
x31 = -90.0589894029074
x32 = 28.2743338823081
x33 = -65.9734457253857
x34 = 72.2566310325652
x35 = 81.681492580091
x36 = -59.6902604182061
x37 = 6.28317667814015
x38 = 4.18879020478639
x39 = 90.0589894029074
x40 = 56.5485983494803
x41 = 8.37758040957278
x42 = 46.0766922526503
x43 = -37.6991249749309
x44 = 59.6902604182061
x45 = -92.1533845053006
x46 = 78.5398163397448
x47 = 84.8230016469244
x48 = -2.0943951023932
x49 = 98.4365698124802
x50 = 12.5662974715217
x51 = -46.0766922526503
x52 = -83.7758040957278
x53 = 9.42477796076938
x54 = -52.3598775598299
x55 = 43.9823032544873
x56 = 87.9646063227249
x57 = -43.9823032331639
x58 = 15.707963267949
x59 = 94.2477801894835
x60 = -81.681426542888
x61 = 41.8879020478639
x62 = 48.1710873550435
x63 = 92.1533845053006
x64 = -28.2743338823081
x65 = -39.7935069454707
x66 = -15.707963267949
x67 = -35.6047167406843
x68 = 14.6607657167524
x69 = -41.8879020478639
x70 = -72.2566310325652
x71 = -50.2654105208584
x72 = 37.6991915874246
x72 = 37.6991915874246