Question

# Which statement cannot be true? Explain.A. sin A = 0.5B. sin A = 1.2654C. sin A = 0.9962D. sin A = 3/4

Trigonometric Functions

Which statement cannot be true? Explain.
A. $$\displaystyle{\sin{{A}}}={0.5}$$
B. $$\displaystyle{\sin{{A}}}={1.2654}$$
C. $$\displaystyle{\sin{{A}}}={0.9962}$$
D. $$\sin A = \frac{3}{4}$$

The sine of an angle can only be from -1 to 1. Since $$1.2654>1$$, then choice $$B \sin A = 1.2654$$ cannot be true.