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 $\sin t=\dfrac{5}{4}.$"

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

$\sin t=\dfrac{5}{4}=1.25>1.$

So, no such values of t exists for which $\sin t=\dfrac{5}{4}.$

Hence, the given statement is FALSE.