find the value of sin negtive 1 (sin 5pie/6) i put 5pie /6.but it ws wrong can you correct
first of all find sin 5pi/6 which is 1/2
so now you want the sin^-1 (1/2), which
is pi/6 or 5pi/6
adding 2pi (which is the period of the sine curve), to each of the above answers would result in more solutions.
Your answer was not "wrong", it just wasn't complete.
so the nswer is pi/8 nd 7pi/6 if wrong correct
from where did you get pi/8 ????
I gave you the answer as pi/6 and 5pi/6.
let's look at the question in degrees, perhaps you are more comfortable with degrees.
sin negative 1 (sin 5pie/6)
= sin^-1 (sin 150º)
= sin^-1 (1/2)
= 30º or 150º
30º = pi/6 radians and 150º is 5pi/6 radians
To find the value of sin(-1) (sin(5π/6)), we need to understand the notation and evaluate it step by step.
The term sin(-1) refers to the inverse sine function, often denoted as arcsin or sin^(-1). This function calculates the angle whose sine value is given. In other words, if we have sin(x) = y, then sin^(-1)(y) = x.
In this case, we want to find sin(-1)(sin(5π/6)). The first step is to evaluate the innermost function, sin(5π/6).
The angle 5π/6 is in the second quadrant of a unit circle, where the sine value is positive. Therefore, sin(5π/6) = 1/2.
Now, we have sin(-1)(1/2).
Here, the inverse sine function will give us the angle whose sine value is 1/2.
To find that angle, we can use the unit circle or a calculator.
On the unit circle, we observe that in the first and second quadrants, the sine value is positive for particular angles. One such angle is π/6 or 30 degrees.
Therefore, sin^(-1)(1/2) = π/6.
In conclusion, the value of sin^(-1)(sin(5π/6)) is π/6 or 30 degrees.