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.
sin(-t - 2𝜋) - cos(-t - 4𝜋) - tan(-t - 𝜋)
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Ch. 1 - Angles and the Trigonometric Functions
Blitzer3rd EditionTrigonometryISBN: 9780137316601
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Table of contents
1장, 문제 39
In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.
sin 38°
검증된 단계별 안내1
Identify the trigonometric function to evaluate, which is \(\sin 38^\circ\).
Make sure your calculator is set to degree mode since the angle is given in degrees.
Input the angle 38 into the sine function on your calculator, i.e., press the sine button and then enter 38.
Read the value displayed on the calculator, which is the sine of 38 degrees.
Round the result to four decimal places as required.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
2m도움이 되었나요?
주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Understanding the Sine Function
The sine function relates an angle in a right triangle to the ratio of the length of the side opposite the angle to the hypotenuse. It is a fundamental trigonometric function used to find unknown side lengths or angles in triangles.
추천 영상:
5:53
Graph of Sine and Cosine Function
Using a Calculator for Trigonometric Values
Calculators can compute trigonometric function values for given angles, typically in degrees or radians. Ensuring the calculator is set to the correct mode (degrees for this problem) is essential for accurate results.
추천 영상:
4:45How to Use a Calculator for Trig Functions
Rounding to Four Decimal Places
After calculating the sine value, the result should be rounded to four decimal places. This means keeping four digits after the decimal point and rounding the last digit based on the fifth digit to maintain precision.
추천 영상:
1:37Example 1
관련 실천
교과서 질문
In Exercises 39–40, let θ be an angle in standard position. Name the quadrant in which θ lies.
tan θ > 0 and sec θ > 0
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교과서 질문
In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places.
-4.8 radians
596
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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
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교과서 질문
In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places.
-5.2 radians
604
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교과서 질문
In Exercises 39–40, let θ be an angle in standard position. Name the quadrant in which θ lies.
tan θ > 0 and cos θ < 0
619
views