Question

Does the equation sin2(x) – 4 = 0 have any solutions? Explain.

Answer 1

Isolate sin(x) by adding 4 and taking the square root of both sides.
State that sin(x) = 2 or sin(x) = –2.State that –2 and 2 are undefined values  of the inverse sine function.There are no solutions because –2 and 2 are not in the domain of the function.

Answer 2

Answer:

No, the given equation:

$\sin^2x-4=0$

does not have any solution.

Step-by-step explanation:

$sin^2x-4=0\\\\this\ means\ that\\\\(sinx-2)(sinx+2)=0\\\\so\ either\ sinx-2=0 or\ sinx+2=0\\\\i.e. sinx=2 or\ sinx=-2\\\\but\ this\ is\ not\ true\ as\ value\ of\ sinx\ lies\ between\ -1\ and\ 1$

Hence, the given equation:

$\sin^2x-4=0$ does not have any solution.