Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation sin(x)+cos(x)=-1
-
Equation 3*9^(x-1/2)-7*6^x+3*4^(x+1)=0
-
Equation 13x+10=6x-4
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Equation (x-2)^4+3*(x-2)^2-10=0
- Express {x} in terms of y where:
- -4*x+6*y=-7
- 2*x+3*y=14
- -11*x+9*y=-20
- 10*x-18*y=-11
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Identical expressions
- sin5x+cos5x=sqrt2cosx
- sinus of 5x plus co sinus of e of 5x equally square root of 2 co sinus of e of x
- sin5x+cos5x=√2cosx
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Similar expressions
- Sin(5x)+cos(5x)=sqrt(2)cos(x)
- sin5x-cos5x=sqrt2cosx
- sqrt2*cos(x)-1=0
- sin(5*x)+cos(5*x)=(sqrt(2))*cos(x)
- sqrt(2)*cos(x/2)+1=0
- (cos2x)/(sqrt(2)cosx+sinx)=0
- f*x=(sin(5*x)+cos(5*x))^3
sin5x+cos5x=sqrt2cosx equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
__________ sin(5*x) + cos(5*x) = \/ 2*cos(x)
$$\sin{\left(5 x \right)} + \cos{\left(5 x \right)} = \sqrt{2 \cos{\left(x \right)}}$$
Numerical answer
[src]
x1 = -87.7815988314948
x2 = 0.182995469019438
x3 = -82.6390369803298
x4 = -9.58384013394797 - 0.176492951672097*i
x5 = -78.0626201706089 + 0.169192376216311*i
x6 = 72.0975688593867 - 0.176492951672097*i
x7 = 9.90197412990529 + 0.169192376216311*i
x8 = 30.1095261018011
x9 = -73.6885065793234 - 0.0755347184486253*i
x10 = 80.3750085592378
x11 = -100.393360850785
x12 = 34.3984570163091 - 0.176492951672097*i
x13 = 58.2583848714479 - 0.0755347184486253*i
x14 = 6.42078937126761
x15 = -17.6255224018973
x16 = -63.789481058791
x17 = -15.2307670988131 - 0.169192376216311*i
x18 = 53.8842712801624 - 0.169192376216311*i
x19 = 68.1574103919803
x20 = -19.8071839085339
x21 = 24.1751132417232
x22 = -70.0726663659706
x23 = 36.3927114089807
x24 = -15.8670254411276 - 0.176492951672097*i
x25 = -95.5541800417906
x26 = 57.7727012842577
x27 = -71.7794348634293 + 0.169192376216311*i
x28 = 64.0558865914373
x29 = -53.5661372842051 + 0.176492951672097*i
x30 = 37.882107312097
x31 = 74.0918232520582
x32 = 173.264792116575 + 0.169192376216311*i
x33 = -13.872771048456
x34 = 51.9751995642683 - 0.0755347184486253*i
x35 = -67.891004859334
x36 = -43.7993016812377
x37 = 66.4506418945216 + 0.169192376216311*i
x38 = -35.9893947362459 - 0.0755347184486253*i
x39 = -27.7971377131722 + 0.169192376216311*i
x40 = -59.8493225913847 - 0.176492951672097*i
x41 = 95.9574967145254 - 0.0755347184486253*i
x42 = 47.6010859729828 + 0.169192376216311*i
x43 = 81.8644044623541
x44 = -65.4962495562498 + 0.169192376216311*i
x45 = 50.4030865215247
x46 = 61.8742250848007
x47 = 17.8919279345436
x48 = -29.7062094290663 - 0.0755347184486253*i
x49 = -26.0903692157135
x50 = -7.58958574127638
x51 = -51.5718828915335
x52 = -81.5438049292466
x53 = 20.0735894411802
x54 = 44.1652926192765
x55 = -34.0803230203518 + 0.169192376216311*i
x56 = 26.3567747483598
x57 = -23.9087077090769
x58 = -94.0647841386744
x59 = -57.8550681987131
x60 = -56.4110637005283
x61 = -6.10018983816015
x62 = -21.5139524059926 - 0.169192376216311*i
x63 = 74.4405956991599
x64 = 70.3390718986169
x65 = 16.1851594370849 + 0.169192376216311*i
x66 = 22.4683447442645 + 0.169192376216311*i
x67 = 28.1152717091295 - 0.176492951672097*i
x68 = 60.167456587342 + 0.169192376216311*i
x69 = -79.971691886503 - 0.0755347184486253*i
x70 = 78.3807541665662 - 0.176492951672097*i
x71 = -50.0824869884173
x72 = -37.5615077789895
x73 = 14.2760877211908 - 0.0755347184486253*i
x74 = 7.99290241401117 - 0.0755347184486253*i
x75 = 94.3853836717818
x76 = -61.6078195521544
x76 = -61.6078195521544