If theta is any real number, is it possible for sin theta = 5/4 ? Why or why not?

Question

If theta is any real number, is it possible for sin theta = 5/4 ?  Why or why not?

jim_thompson5910 · Answer

hints

5/4 = 1.25

$$\Large -1 \le \sin(\theta) \le 1$$

anonymous · Answer

so you all you did was divide the fraction? @jim_thompson5910

phi · Answer

Jim is saying that the sin of an angle is between -1 and 1
He also pointed out that 5/4 written as a decimal is 1.25, to make it more clear that
5/4 is bigger than 1 (and so outside the legal values for sin)

jim_thompson5910 · Answer

yes I used a calculator to compute 5/4 = 1.25

you can also use long division

jim_thompson5910 · Answer

the second thing basically says that sin(theta) is between -1 and 1

The smallest that sin(theta) can get is -1
The largest that sin(theta) can get is +1