Find sin(sin^-1 1/4)
is the answer 1/4?
Yes, sin(sin-1(x)) = x
straight from the definition of sin-1(x).
Thanks for checking!
No problem!
Yes, the answer is 1/4.
To find sin(sin^(-1)(1/4)), you can use the fact that sin(sin^(-1)(x)) = x.
In this case, sin(sin^(-1)(1/4)) simplifies to sin(1/4) itself.
Now, to find the value of sin(1/4), you can use a scientific calculator.
Make sure your calculator is set to "degree" mode (since we are dealing with angles in degrees), and enter sin(1/4). The result you get should be approximately 0.247.
Therefore, sin(sin^(-1)(1/4)) = sin(1/4) = 0.247, which is equivalent to 1/4.