Question

The number of solutions of the equation `2θ - cos^2θ + sqrt(2)` = 0 in R is equal to ______.

पर्याय

• 0

• 1

• 2

• 3

Answer 1

The number of solutions of the equation `2θ - cos^2θ + sqrt(2)` = 0 in R is equal to 1.

Explanation:

Given: `2θ - cos^2θ + sqrt(2)` = 0

⇒ cos²θ = `2θ + sqrt(2)`

Let's draw the graph of y = cos²θ and y

= `2θ + sqrt(2)`

∵ Both graphs intersect at one point.

∴ Number of solution for given equation is 1.