Math Problem Statement

Use a calculator to find the value of the trigonometric function. tangent 37.3 degrees Question content area bottom Part 1 tangent 37.3 degreesalmost equals    enter your response here ​(Round to four decimal places as​ needed.)

Solution

math

Calculate the tangent of 37.3 degrees

angle_degrees = 37.3 angle_radians = math.radians(angle_degrees) tangent_value = math.tan(angle_radians)

Round the result to four decimal places

tangent_value_rounded = round(tangent_value, 4) tangent_value_roundedThe value of tan(37.3)\tan(37.3^\circ) is approximately 0.7618 (rounded to four decimal places).

Would you like further clarification or have any additional questions?

Here are 5 related questions for you to explore:

  1. How do you convert degrees to radians?
  2. What is the tangent function, and how is it related to the sine and cosine functions?
  3. What is the value of tan(45)\tan(45^\circ)?
  4. How do you calculate the tangent of an angle in a right triangle?
  5. How does the value of the tangent function behave as the angle approaches 90 degrees?

Tip: When using a calculator to compute trigonometric functions, make sure it's set to the correct mode (degree vs. radian).

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Tangent Function
Angle Conversion (Degrees to Radians)

Formulas

tan(θ) = sin(θ) / cos(θ)
Angle in radians = angle in degrees * π / 180

Theorems

Trigonometric Functions
Unit Circle

Suitable Grade Level

Grades 9-12