Question

Solve cos equation for the smallest three positive solutions

A) Cosine function
B) Sine function
C) Tangent function
D) Cotangent function

Answer 1

To solve the given cosine equation for the smallest three positive solutions, we can use the inverse cosine function (arccos). The first positive solution is π/2, and the next two positive solutions are 5π/2 and 9π/2.

Step-by-step explanation:

To solve the given cosine equation, we can use the inverse cosine function (arccos) to find the solutions. Since we are looking for the smallest three positive solutions, we will find the values of the inverse cosine function for different inputs until we find the first three positive values. Let's use the cosine function:

Cosine function: We need to solve the equation cosine(x) = 0. First, let's find the first positive solution:

1. cos(x) = 0
2. x = arccos(0)
3. x = π/2

The first positive solution is π/2. We can continue finding the next two positive solutions by adding multiples of 2π to the angle:

1. x = π/2 + 2π = 5π/2
2. x = π/2 + 4π = 9π/2