Question

There are values of t so that sin t = 5/4. True or false.

Answer 1

false sin t can never be more then 1

Answer 2

Answer: The given statement is FALSE.

Step-by-step explanation: We are given to check whether the following statement is TRUE of FALSE :

"There are values of t so that
`\sin t=(5)/(4).`"

We know that the range of sine function is the close interval [-1, 1].

That is,

the value of sine of any angle cannot be less than -1 and greater than 1.

According to the given information, we have

`\sin t=(5)/(4)=1.25>1.`

So, no such values of t exists for which
`\sin t=(5)/(4).`

Hence, the given statement is FALSE.