Question

if sin²theta= x² + y²+1/2x then x must be

Answer 1

Given: The expression sin²theta = x² + y²+1 / 2x

To find: The value of x?

Solution:

• Now we have given the expression as:

                    sin²theta = x² + y²+1 / 2x

• Now we know that sin theta has value less than or equal to 1, so:

                    x² + y²+1 / 2x ≤ 1

                    x² + y²+1 ≤ 2x

                    x² + y²+ 1 - 2x ≤ 0

                    x² - 2x + 1 + y² ≤ 0

                    (x-1)² + y² ≤ 0

• Now this can be possible when either (x-1)² = 0 or y² = 0.

                    If (x-1)² = 0, then x = 1

                    Else y² = 0, then y = 0

Answer:

             So the value of x is 1.