Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^4-10x^2+9=0
-
Equation x-11=-7
-
Equation 5*x^2=35*x
-
Equation -7*x^2=0
- Express {x} in terms of y where:
- 8*x+1*y=4
- -20*x+14*y=16
- 11*x-9*y=-4
- 9*x+8*y=-4
-
Identical expressions
- sin(t- one)*h
- sinus of (t minus 1) multiply by h
- sinus of (t minus one) multiply by h
- sin(t-1)h
- sint-1h
-
Similar expressions
- sin(t+1)*h
sin(t-1)*h equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$h \sin{\left(t - 1 \right)} = 0$$
- this is the simplest trigonometric equation
We get:
$$h \sin{\left(t - 1 \right)} = 0$$
The equation is transformed to
$$\sin{\left(t - 1 \right)} = 0$$
This equation is transformed to
$$t - 1 = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$t - 1 = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
Or
$$t - 1 = 2 \pi n$$
$$t - 1 = 2 \pi n + \pi$$
, where n - is a integer
Move
$$-1$$
to right part of the equation
with the opposite sign, in total:
$$t = 2 \pi n + 1$$
$$t = 2 \pi n + 1 + \pi$$
$$h \sin{\left(t - 1 \right)} = 0$$
- this is the simplest trigonometric equation
with the change of sign in 0
We get:
$$h \sin{\left(t - 1 \right)} = 0$$
Divide both parts of the equation by h
The equation is transformed to
$$\sin{\left(t - 1 \right)} = 0$$
This equation is transformed to
$$t - 1 = 2 \pi n + \operatorname{asin}{\left(0 \right)}$$
$$t - 1 = 2 \pi n - \operatorname{asin}{\left(0 \right)} + \pi$$
Or
$$t - 1 = 2 \pi n$$
$$t - 1 = 2 \pi n + \pi$$
, where n - is a integer
Move
$$-1$$
to right part of the equation
with the opposite sign, in total:
$$t = 2 \pi n + 1$$
$$t = 2 \pi n + 1 + \pi$$
The graph
Sum and product of roots
[src]
sum
1 + 1 + pi
$$1 + \left(1 + \pi\right)$$
=
2 + pi
$$2 + \pi$$
product
1 + pi
$$1 + \pi$$
=
1 + pi
$$1 + \pi$$
1 + pi