The value of \(\cos A = \frac{3}{2}\) is not possible because the cosine of an angle is always between -1 and 1, i.e., \(-1 \leq \cos A \leq 1\). 

If this is a typo or mistake, please recheck the value of \(\cos A\). If it was intended to represent another trigonometric function or if you would like to work with an imaginary result, let me know how you'd like to proceed!

Would you like to clarify or explore a different approach?

Here are 5 related questions:
1. What is the range of values for \(\sin A\) and \(\cos A\)?
2. How can we compute \(\cos(3A)\) if \(\cos A\) is within the normal range?
3. What are the formulas for \(\cos(2A)\) and \(\sin(2A)\)?
4. What is the triple angle formula for \(\sin(3A)\)?
5. What happens if we extend cosine values into the complex plane?

**Tip:** The triple angle identity for cosine is \(\cos(3A) = 4\cos^3(A) - 3\cos(A)\).

Explore the properties of the cosine function and its range limitations in trigonometry. Learn why cos(A) cannot be 3/2 and how to apply the triple angle formula to find cos(3A). Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation