How would I simplify and solve for X in this trigonometric equation? (Radians)
1 answer:
Answer:
Please, refer to the images below
Step-by-step explanation:
We need to solve for x in the equation
cos (x+ pi) ^2 = sin (x)
cos (x+ pi) = - cos(x)
(-cos (x)) * (-cos (x)) = sin(x)
cos(x) ^2 = sin(x)
We know that
cos(x) ^2 + sin(x) ^2 = 1
cos(x) ^2 = 1 - sin(x) ^2
1 - sin(x) ^2 = sin(x)
sin(x) ^2 + sin (x) -1 = 0
Let A = sin(x)
A^2 + A - 1 = 0
(solutions attached in picture 1)
This means that
x = arcsin(A)
(solutions attached in picture 2)
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Answer:
2000 ml
Step-by-step explanation:
Given: Sarai pours all the liquid from a full small beaker into a larger beaker.
The liquid fills the large beaker to 15% of its capacity.
The small beaker holds 300 ml.
Lets assume capacity of large beaker to hold be "x".
As given, Sarai pours all the liquid from a full small beaker into a larger beaker
∴
⇒
Dividing both side by 0.15
⇒
∴
Hence, the large beaker can hold 2000 ml of liquid.