Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 5-2*x=11-7*(x+2)
-
Equation -x=4-3(3x-8)
-
Equation x+3=-9*x
-
Equation 17x-8=20x+7
- Express {x} in terms of y where:
- -6*x-17*y=14
- -14*x-1*y=3
- 1*x-6*y=-19
- -1*x-20*y=-17
-
Identical expressions
- cot(x+pi/ four)= one
- cotangent of (x plus Pi divide by 4) equally 1
- cotangent of (x plus Pi divide by four) equally one
- cotx+pi/4=1
- cot(x+pi divide by 4)=1
-
Similar expressions
- cot(x-pi/4)=1
-
What you mean?
- cot((x + pi)/4) = 1
- cot(x + pi/4) = 1
- cot(x + pi/4) = 1
You entered:
cot(x+pi/4)=1
What you mean?
cot(x+pi/4)=1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\cot{\left(x + \frac{\pi}{4} \right)} = 1$$
transform
$$\cot{\left(x + \frac{\pi}{4} \right)} - 1 = 0$$
$$\cot{\left(x + \frac{\pi}{4} \right)} - 1 = 0$$
Do replacement
$$w = \cot{\left(x + \frac{\pi}{4} \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\cot{\left(x + \frac{\pi}{4} \right)} = w$$
substitute w:
$$\cot{\left(x + \frac{\pi}{4} \right)} = 1$$
transform
$$\cot{\left(x + \frac{\pi}{4} \right)} - 1 = 0$$
$$\cot{\left(x + \frac{\pi}{4} \right)} - 1 = 0$$
Do replacement
$$w = \cot{\left(x + \frac{\pi}{4} \right)}$$
Move free summands (without w)
from left part to right part, we given:
$$w = 1$$
We get the answer: w = 1
do backward replacement
$$\cot{\left(x + \frac{\pi}{4} \right)} = w$$
substitute w:
Numerical answer
[src]
x1 = -47.1238898038469
x2 = 31.4159265358979
x3 = -72.2566310325652
x4 = -21.9911485751286
x5 = -50.2654824574367
x6 = 94.2477796076938
x7 = 84.8230016469244
x8 = 6.28318530717959
x9 = 25.1327412287183
x10 = 53.4070751110265
x11 = -59.6902604182061
x12 = -9.42477796076938
x13 = 72.2566310325652
x14 = 69.1150383789755
x15 = -6.28318530717959
x16 = -12.5663706143592
x17 = 0.0
x18 = -78.5398163397448
x19 = 78.5398163397448
x20 = 56.5486677646163
x21 = 34.5575191894877
x22 = -94.2477796076938
x23 = 87.9645943005142
x24 = 65.9734457253857
x25 = -87.9645943005142
x26 = -43.9822971502571
x27 = -37.6991118430775
x28 = 91.106186954104
x29 = -3.14159265358979
x30 = -56.5486677646163
x31 = -34.5575191894877
x32 = 47.1238898038469
x33 = 9.42477796076938
x34 = -25.1327412287183
x35 = -53.4070751110265
x36 = 21.9911485751286
x37 = 40.8407044966673
x38 = 3.14159265358979
x39 = 43.9822971502571
x40 = 62.8318530717959
x41 = -91.106186954104
x42 = 12.5663706143592
x43 = 37.6991118430775
x44 = 81.6814089933346
x45 = -28.2743338823081
x46 = -65.9734457253857
x47 = 28.2743338823081
x48 = 97.3893722612836
x49 = -31.4159265358979
x50 = 59.6902604182061
x51 = -75.398223686155
x52 = -100.530964914873
x53 = 18.8495559215388
x54 = -84.8230016469244
x55 = 75.398223686155
x56 = 50.2654824574367
x57 = 100.530964914873
x58 = -15.707963267949
x59 = 15.707963267949
x60 = -97.3893722612836
x61 = -69.1150383789755
x62 = -40.8407044966673
x63 = -81.6814089933346
x64 = -62.8318530717959
x65 = -18.8495559215388
x65 = -18.8495559215388
The graph