교과서 질문
Find the reference angle for each angle.
5π/4
591
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Ch. 1 - Angles and the Trigonometric Functions
Blitzer3rd EditionTrigonometryISBN: 9780137316601
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Table of contents
1장, 문제 41
In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.
tan 32.7°
검증된 단계별 안내1
Identify the trigonometric function to evaluate, which is the tangent of 32.7 degrees, written as \(\tan 32.7^\circ\).
Make sure your calculator is set to degree mode since the angle is given in degrees, not radians.
Input the angle 32.7 into the calculator and then use the tangent function key to find \(\tan 32.7^\circ\).
Read the value displayed on the calculator, which is the tangent of 32.7 degrees.
Round the result to four decimal places as required by the problem.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m도움이 되었나요?
주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Understanding the Tangent Function
The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the adjacent side. It is a fundamental trigonometric function that relates an angle to a ratio of sides, often used to find slopes or angles in various applications.
추천 영상:
5:43
Introduction to Tangent Graph
Using a Calculator for Trigonometric Functions
Calculators can compute trigonometric values directly when the angle is input in the correct mode (degrees or radians). For this problem, ensure the calculator is set to degree mode before calculating tan 32.7°, to obtain an accurate decimal value.
추천 영상:
4:45How to Use a Calculator for Trig Functions
Rounding to Four Decimal Places
After calculating the trigonometric value, rounding to four decimal places means limiting the result to four digits after the decimal point. This ensures precision and consistency in answers, which is important for clarity and comparison in mathematical problems.
추천 영상:
1:37Example 1
관련 실천
교과서 질문
In Exercises 35–60, find the reference angle for each angle.
7𝜋/4
710
views
교과서 질문
In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.
3𝜋/4
681
views
교과서 질문
In Exercises 41–43, find the exact value of each of the remaining trigonometric functions of θ.
cos θ = 2/5, sin θ < 0
942
views
교과서 질문
In Exercises 33–42, let sin t = a, cos t = b, and tan t = c. Write each expression in terms of a, b, and c.
cos t + cos(t + 1000𝜋) - tan t - tan(t + 999𝜋) - sin t + 4 sin(t - 1000𝜋)
574
views
교과서 질문
In Exercises 41–56, use the circle shown in the rectangular coordinate system to draw each angle in standard position. State the quadrant in which the angle lies. When an angle's measure is given in radians, work the exercise without converting to degrees.
7𝜋/6
609
views