Math Problem Statement

Sin 130

Solution

The sine of 130130^\circ is:

sin(130)=sin(180130)=sin(50)\sin(130^\circ) = \sin(180^\circ - 130^\circ) = \sin(50^\circ)

Using a calculator, the value of sin(130)\sin(130^\circ) is approximately:

sin(130)0.7660\sin(130^\circ) \approx 0.7660

Would you like further details or clarifications?

Here are 5 related questions to expand your understanding:

  1. What is the sine of 5050^\circ?
  2. How can the sine of angles be found using the unit circle?
  3. What is the cosine of 130130^\circ?
  4. How does the sine function behave in different quadrants of the unit circle?
  5. What is the value of sin(180x)\sin(180^\circ - x) for any angle xx?

Tip: In trigonometry, the sine of an obtuse angle (between 90° and 180°) is the same as the sine of its supplementary angle (180° minus the angle).

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Trigonometry
Sine Function
Angle Conversion

Formulas

sin(180° - θ) = sin(θ)

Theorems

Supplementary Angle Theorem

Suitable Grade Level

Grades 9-12