Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 3-x=1+x
-
Equation 16x-3=8x-43
-
Equation 8-3/5x=14
-
Equation x^2-5*x-5=0
- Express {x} in terms of y where:
- -6*x+1*y=-5
- 8*x+1*y=4
- 20*x-16*y=7
- -11*x-11*y=4
- Derivative of:
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sin(t)
- Limit of the function:
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sin(t)
- Integral of d{x}:
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sin(t)
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Identical expressions
- sin(t)= zero
- sinus of (t) equally 0
- sinus of (t) equally zero
- sint=0
- sin(t)=O
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Similar expressions
- sint=-2,3
- sin(t-1)*h
sin(t)=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\sin{\left(t \right)} = 0$$
- this is the simplest trigonometric equation
We get:
$$\sin{\left(t \right)} = 0$$
This equation is transformed to
$$t = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$t = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
Or
$$t = 2 \pi n$$
$$t = 2 \pi n + \pi$$
, where n - is a integer
$$\sin{\left(t \right)} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0
We get:
$$\sin{\left(t \right)} = 0$$
This equation is transformed to
$$t = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$t = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
Or
$$t = 2 \pi n$$
$$t = 2 \pi n + \pi$$
, where n - is a integer
Numerical answer
[src]
t1 = 69.1150383789755
t2 = -97.3893722612836
t3 = 72.2566310325652
t4 = -40.8407044966673
t5 = -78.5398163397448
t6 = -3.14159265358979
t7 = 25.1327412287183
t8 = 18.8495559215388
t9 = 56.5486677646163
t10 = -50.2654824574367
t11 = 94.2477796076938
t12 = 34.5575191894877
t13 = -81.6814089933346
t14 = -69.1150383789755
t15 = 50.2654824574367
t16 = -267.035375555132
t17 = -232.477856365645
t18 = 43.9822971502571
t19 = 84.8230016469244
t20 = -34.5575191894877
t21 = 9.42477796076938
t22 = 65.9734457253857
t23 = 87.9645943005142
t24 = -53.4070751110265
t25 = 40.8407044966673
t26 = -113.097335529233
t27 = -43.9822971502571
t28 = -84.8230016469244
t29 = -6.28318530717959
t30 = -15.707963267949
t31 = -9.42477796076938
t32 = -18.8495559215388
t33 = 81.6814089933346
t34 = -62.8318530717959
t35 = 15.707963267949
t36 = 6.28318530717959
t37 = 28.2743338823081
t38 = -94.2477796076938
t39 = -12.5663706143592
t40 = 21.9911485751286
t41 = -47.1238898038469
t42 = 75.398223686155
t43 = -75.398223686155
t44 = -91.106186954104
t45 = 62.8318530717959
t46 = -31.4159265358979
t47 = -56.5486677646163
t48 = 3.14159265358979
t49 = 47.1238898038469
t50 = 78.5398163397448
t51 = 53.4070751110265
t52 = -87.9645943005142
t53 = 37.6991118430775
t54 = -72.2566310325652
t55 = 91.106186954104
t56 = -25.1327412287183
t57 = 59.6902604182061
t58 = 100.530964914873
t59 = -28.2743338823081
t60 = -2642.07942166902
t61 = -37.6991118430775
t62 = 0.0
t63 = -65.9734457253857
t64 = -21.9911485751286
t65 = 31.4159265358979
t66 = 12.5663706143592
t67 = -100.530964914873
t68 = 97.3893722612836
t69 = -59.6902604182061
t69 = -59.6902604182061
The graph