Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation x+y=15
-
Equation x^2-8*x-9=0
-
Equation x^2-15=2*x
-
Equation sin(x)+cos(x)=0,5
- Express {x} in terms of y where:
- 12*x+10*y=14
- -18*x+2*y=12
- -14*x-10*y=16
- 8*x-11*y=18
- Graphing y =:
- sin(x)+cos(x)
- Integral of d{x}:
-
sin(x)+cos(x)
- 0,5
- Canonical form:
- sin(x)+cos(x)
- Derivative of:
-
0,5
- Sum of series:
-
0,5
-
Identical expressions
- sin(x)+cos(x)= zero , five
- sinus of (x) plus co sinus of e of (x) equally 0,5
- sinus of (x) plus co sinus of e of (x) equally zero , five
- sinx+cosx=0,5
- sin(x)+cos(x)=O,5
-
Similar expressions
- x=sinx+cosx
- sin(x)-cos(x)=0,5
- sinx+(cosx)^2=0
- (sinx+cosx)/(1+tgx)=0
- sinx+cosx=0,5
sin(x)+cos(x)=0,5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
sin(x) + cos(x) = 1/2
$$\sin{\left(x \right)} + \cos{\left(x \right)} = \frac{1}{2}$$
Rapid solution
[src]
/ ___\
|2 \/ 7 |
x1 = 2*atan|- - -----|
\3 3 /
$$x_{1} = 2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)}$$
/ ___\
|2 \/ 7 |
x2 = 2*atan|- + -----|
\3 3 /
$$x_{2} = 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
x2 = 2*atan(2/3 + sqrt(7)/3)
Sum and product of roots
[src]
sum
/ ___\ / ___\
|2 \/ 7 | |2 \/ 7 |
2*atan|- - -----| + 2*atan|- + -----|
\3 3 / \3 3 /
$$2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
=
/ ___\ / ___\
|2 \/ 7 | |2 \/ 7 |
2*atan|- - -----| + 2*atan|- + -----|
\3 3 / \3 3 /
$$2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} + 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
product
/ ___\ / ___\
|2 \/ 7 | |2 \/ 7 |
2*atan|- - -----|*2*atan|- + -----|
\3 3 / \3 3 /
$$2 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} 2 \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
=
/ ___\ / ___\
|2 \/ 7 | |2 \/ 7 |
4*atan|- - -----|*atan|- + -----|
\3 3 / \3 3 /
$$4 \operatorname{atan}{\left(\frac{2}{3} - \frac{\sqrt{7}}{3} \right)} \operatorname{atan}{\left(\frac{2}{3} + \frac{\sqrt{7}}{3} \right)}$$
4*atan(2/3 - sqrt(7)/3)*atan(2/3 + sqrt(7)/3)
Numerical answer
[src]
x1 = -10.5715432480735
x2 = 89.9594216667998
x3 = -16.8547285552531
x4 = -82.1054400328254
x5 = 56.1246367251255
x6 = -92.2529522414082
x7 = -73.4033963198694
x8 = 71.1098657452611
x9 = 8.27801267346522
x10 = -67.1202110126898
x11 = -31.8399575753887
x12 = -48.2706550911511
x13 = 20.8443832878244
x14 = 58.5434951309019
x15 = 93.8237485682031
x16 = -44.4063281897478
x17 = 27.127568595004
x18 = 18.425524882048
x19 = 83.6762363596203
x20 = -23.1379138624327
x21 = 68.6910073394847
x22 = 64.8266804380815
x23 = -60.8370257055102
x24 = 87.5405632610235
x25 = 52.2603098237223
x26 = -69.5390694184662
x27 = -19.2735869610295
x28 = -104.819322855767
x29 = -6.70721634667033
x30 = 39.6939392093632
x31 = 33.4107539021836
x32 = 30.9918954964072
x33 = -54.5538403983306
x34 = -85.9697669342286
x35 = -12.9904016538499
x36 = -88.3886253400049
x37 = -94.6718106471845
x38 = -415.114261313343
x39 = -29.4210991696123
x40 = 14.5611979806448
x41 = 49.841451417946
x42 = -4.28835794089395
x43 = 96.2426069739794
x44 = -22102.2510832915
x45 = -50.6895134969274
x46 = -35.7042844767919
x47 = 137.80604571846
x48 = -38.1231428825683
x49 = -63.2558841112866
x50 = 74.9741926466643
x51 = -98.5361375485877
x52 = 12.1423395748684
x53 = 37.2750808035868
x54 = 62.4078220323051
x55 = 77.3930510524407
x56 = -0.424031039490741
x57 = -56.972698804107
x58 = 5.85915426768885
x59 = 45.9771245165427
x60 = 100.106933875383
x61 = -25.5567722682091
x62 = 1.99482736628564
x63 = -75.8222547256458
x64 = -41.9874697839715
x65 = 24.7087101892276
x66 = -79.686581627049
x67 = 81.2573779538439
x68 = 43.5582661107664
x68 = 43.5582661107664
The graph