If $$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2,$$ the value of x is?
A. 0
B. 1
C. -1
D. None of these
Answer: Option B
Solution(By Examveda Team)
$$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2$$Put value of x from options
$$\eqalign{ & x = 1 \cr & \sin \frac{\pi }{2} \times 1 = {1^2} - 2 \times 1 + 2 \cr & \Rightarrow \sin {90^ \circ } = 1 - 2 + 2 \cr & \Rightarrow 1 = 1 \cr} $$
Related Questions on Trigonometry
A. x = -y
B. x > y
C. x = y
D. x < y
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