Answer:
The value of x is 90°
Step-by-step explanation:
Given as :
The Trigonometrical equation as :
sin² x - 2 sin x + 1 = 0
Now, Let Sin x= a
So, The equation can be written as :
a² - 2 a + 1 = 0
applying mid-term break
a² - a - a + 1 = 0
Or, a ( a - 1) - 1 (a - 1) = 0
Or, (a -1) (a-1) = 0
∴ a - 1 = 0
i.e a = 1
Now, put the value of a
∵ Sin x = a
So, Sin x = 1
∴ x = [tex]Sin^{-1}[/tex]
Or, x = 90°
So, The value of x = 90°
Hence, The value of x is 90° Answer
