Are you sure that it's 0 ≤ t ≤ 1 , and not 0 ≤ t ≤ π/2 ?Clara Chung said:
Have you know about Maclaurin series yet, and in particular, the Maclaurin series for cos(t)?Clara Chung said:
A trigonometry inequality is a mathematical statement that compares two trigonometric expressions using the symbols <, >, ≤, or ≥. It is used to describe the relationship between different angles or sides of a triangle.
To solve a trigonometry inequality, you need to use the basic trigonometric identities and properties, along with algebraic techniques. You may also need to use a calculator to find the numerical values of trigonometric functions.
Some common trigonometry inequalities include the sine inequality, cosine inequality, tangent inequality, and cotangent inequality. These involve comparing different trigonometric functions of the same angle.
Trigonometry inequalities are important because they are used in various real-world applications, such as in engineering, physics, and navigation. They also help to understand the relationship between angles and sides of a triangle and can be used to solve trigonometric equations.
Sure, let's say we have the inequality sinθ < cosθ. We can solve this by using the fact that sinθ < cosθ when 0 < θ < π/4. So, the solution for this inequality is 0 < θ < π/4.