Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation 2*sin(x)=0
-
Equation (x-5)^2-x^2=3
-
Equation -2*(-y-2)-y-2=0
-
Equation x^2+x=6
- Express {x} in terms of y where:
- -6*x+15*y=-13
- -17*x+14*y=11
- -11*x-3*y=-15
- 9*x-6*y=-20
-
Identical expressions
- tg(t)= six
- tg(t) equally 6
- tg(t) equally six
- tgt=6
-
Similar expressions
- x=2(cost+ln(tg(t/2)))
- 2ctgt-t=0
- arctg(t/v)
tg(t)=6 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$\tan{\left(t \right)} = 6$$
- this is the simplest trigonometric equation
This equation is transformed to
$$t = \pi n + \operatorname{atan}{\left(6 \right)}$$
Or
$$t = \pi n + \operatorname{atan}{\left(6 \right)}$$
, where n - is a integer
$$\tan{\left(t \right)} = 6$$
- this is the simplest trigonometric equation
This equation is transformed to
$$t = \pi n + \operatorname{atan}{\left(6 \right)}$$
Or
$$t = \pi n + \operatorname{atan}{\left(6 \right)}$$
, where n - is a integer
Sum and product of roots
[src]
sum
atan(6)
$$\operatorname{atan}{\left(6 \right)}$$
=
atan(6)
$$\operatorname{atan}{\left(6 \right)}$$
product
atan(6)
$$\operatorname{atan}{\left(6 \right)}$$
=
atan(6)
$$\operatorname{atan}{\left(6 \right)}$$
atan(6)
Numerical answer
[src]
t1 = -23.7270935793381
t2 = -73.9925760367748
t3 = 42.2463521460476
t4 = -89.7005393047237
t5 = -45.7182421544666
t6 = -30.0102788865177
t7 = -95.9837246119033
t8 = -1.73594500420952
t9 = 79.9454639891251
t10 = 10.8304256101496
t11 = -67.7093907295952
t12 = -275.054505866522
t13 = 13.9720182637394
t14 = -52.0014274616462
t15 = 86.2286492963047
t16 = 35.963166838868
t17 = 20.255203570919
t18 = 64.2375007211761
t19 = -221.647430755495
t20 = 57.9543154139965
t21 = -8.01913031138911
t21 = -8.01913031138911