Question

1 - 2 sin x + sin^2 x

Answer 1

The value of x is 90°

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 =
`Sin^(-1)`

Or, x = 90°

So, The value of x = 90°

Hence, The value of x is 90° Answer