Domanda del libro di testo
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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Capitolo 1, Problema 39
In Exercises 39–48, use a calculator to find the value of the trigonometric function to four decimal places.
sin 38°
Guida verificata passo dopo passo1
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.
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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.
Video consigliato:
Percorso guidato
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.
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Percorso guidato
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.
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Percorso guidato
1:37Example 1
Pratica correlata
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In Exercises 39–40, let θ be an angle in standard position. Name the quadrant in which θ lies.
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In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places.
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In Exercises 41–43, find the exact value of each of the remaining trigonometric functions of θ.
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Domanda del libro di testo
In Exercises 35–40, convert each angle in radians to degrees. Round to two decimal places.
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Domanda del libro di testo
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
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