The given is secθ = 2.

Step 1: We know that secθ = 1/cosθ. So, cosθ = 1/2.

Step 2: Now, we need to find the values of θ in the interval (0, 2π) that satisfy cosθ = 1/2.

Step 3: The values of θ that satisfy cosθ = 1/2 are θ = π/3 and θ = 5π/3.

Step 4: Both of these values are in the interval (0, 2π).

So, the number of solutions of the equation in (0, 2π) is 2.

Question

The given is secθ = 2.

Step 1: We know that secθ = 1/cosθ. So, cosθ = 1/2.

Step 2: Now, we need to find the values of θ in the interval (0, 2π) that satisfy cosθ = 1/2.

Step 3: The values of θ that satisfy cosθ = 1/2 are θ = π/3 and θ = 5π/3.

Step 4: Both of these values are in the interval (0, 2π).

So, the number of solutions of the equation in (0, 2π) is 2.

Knowee AI · Accepted Answer

The given is secθ = 2.

Step 1: We know that secθ = 1/cosθ. So, cosθ = 1/2.

Step 2: Now, we need to find the values of θ in the interval (0, 2π) that satisfy cosθ = 1/2.

Step 3: The values of θ that satisfy cosθ = 1/2 are θ = π/3 and θ = 5π/3.

Step 4: Both of these values are in the interval (0, 2π).

So, the number of solutions of the equation in (0, 2π) is 2.

If secθ = 2 then number of solution of equation in (0, 2π) is