https://file.aiquickdraw.com/mathbot/file/1726095551864icvffipo.jpg

The problem is asking to find the values of \(\sin \theta\), \(\cos \theta\), and \(\tan \theta\) for \(\theta = 90^\circ\).

We can use the following standard trigonometric values for \(90^\circ\):

1. \(\sin 90^\circ = 1\)
2. \(\cos 90^\circ = 0\)
3. \(\tan 90^\circ = \frac{\sin 90^\circ}{\cos 90^\circ} = \frac{1}{0}\), which is **undefined**.

So, the answers are:
- \(\sin 90^\circ = 1\)
- \(\cos 90^\circ = 0\)
- \(\tan 90^\circ = \text{undefined}\)

Let me know if you'd like more details or explanations.

Here are 5 related questions for practice:
1. What is \(\sin 45^\circ\), \(\cos 45^\circ\), and \(\tan 45^\circ\)?
2. Find the values of \(\sin 30^\circ\), \(\cos 30^\circ\), and \(\tan 30^\circ\).
3. What happens to the value of \(\sin \theta\) and \(\cos \theta\) as \(\theta\) approaches \(0^\circ\)?
4. Why is \(\tan 90^\circ\) undefined, but \(\tan 0^\circ = 0\)?
5. How do the values of \(\sin \theta\) and \(\cos \theta\) change between \(0^\circ\) and \(90^\circ\)?

**Tip**: Always remember that \(\tan \theta\) is undefined when \(\cos \theta = 0\), as division by zero is not allowed.

Find sin θ, cos θ, and tan θ for the value of θ = 90°. Do not use calculators. If an answer is undefined, enter UNDEFINED.

Discover the trigonometric values of sin θ, cos θ, and tan θ when θ = 90°. This problem covers core trigonometric concepts, focusing on standard angle properties. Ideal for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation