Question

The value
Pi /2
is a solution for the equation 2 sin^2 x- sin x-1=0.
O A. True
B. False

Answer 1

Answer:

A

Step-by-step explanation:

Check the solution by substituting x = $\frac{\pi }{2}$ into the left side of the equation

2sin²x - sinx - 1

= 2sin²($\frac{\pi }{2}$ ) - sin ($\frac{\pi }{2}$ ) - 1

= 2(1)² - 1 - 1

= 2 - 1 - 1

= 0

= right side

$\frac{\pi }{2}$ is therefore a solution to the equation