Question

True or False The equation $\sin \theta =2$has a real solution that can be found using a calculator.

Short answer

The given statement is false.

Step-by-step solution

Step 1. Given Information

We have to check the equation $\sin \theta =2$has a real solution that can be found using a calculator or not.

Step 2. Many trigonometry functions especially the sine function and the cosine function have the entire range of real numbers as their domain but their range is very limited. 

The range of $\sin \theta$is $[-1,1]$.

So $\sin \theta =2$does not have solution that can be found using a calculator.

So the given statement is false.