Math Problem Statement

Find the trigonometric value. tangent 24 degrees Question content area bottom Part 1 tangent 24 degreesalmost equals

enter your response here ​(Round to three decimal places as​ needed.)

Solution

To find the value of tan(24)\tan(24^\circ), we use a calculator or trigonometric table. Using a calculator:

tan(24)0.445\tan(24^\circ) \approx 0.445

Thus, tan(24)0.445\tan(24^\circ) \approx 0.445 (rounded to three decimal places).


Would you like me to provide step-by-step calculations or additional context? Here are some related questions:

  1. What is tan(66)\tan(66^\circ) (as it is the complementary angle to 2424^\circ)?
  2. How can tan(24)\tan(24^\circ) be used in solving right triangle problems?
  3. Can we use a series expansion to approximate tan(24)\tan(24^\circ)?
  4. What is the reciprocal of tan(24)\tan(24^\circ), also known as cot(24)\cot(24^\circ)?
  5. How does the tangent function behave near small angles like 2424^\circ?

Tip: Tangent values can also be estimated using the small-angle approximation tan(θ)θ\tan(\theta) \approx \theta (in radians) for small

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Tangent Function

Formulas

tan(θ) = opposite/adjacent

Theorems

Basic trigonometric functions

Suitable Grade Level

Grades 8-10