Domanda del libro di testo
In Exercises 1–8, a point on the terminal side of angle θ is given. Find the exact value of each of the six trigonometric functions of θ. (3, 7)
558
views
Ch. 1 - Angles and the Trigonometric Functions
Blitzer3rd EditionTrigonometryISBN: 9780137316601
Non è quello che usi tu?Cambia libro di testoScegli un libro di testo diverso
TOC.tableOfContents
Capitolo 1, Problema 2
In Exercises 2–4, convert each angle in degrees to radians. Express your answer as a multiple of 𝜋. 15°
Guida verificata passo dopo passo1
Recall the formula to convert degrees to radians: \(\text{radians} = \text{degrees} \times \frac{\pi}{180}\).
Substitute the given angle in degrees (15°) into the formula: \(15 \times \frac{\pi}{180}\).
Simplify the fraction \(\frac{15}{180}\) by dividing numerator and denominator by their greatest common divisor, which is 15.
After simplification, express the result as a multiple of \(\pi\) in the form \(\frac{1}{12} \pi\).
Write the final answer as \(\frac{\pi}{12}\) radians.
Risposta video verificata per un problema simile:
Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
2mConcetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Degree to Radian Conversion
Degrees and radians are two units for measuring angles. To convert degrees to radians, multiply the degree measure by π/180. This conversion is essential because radians are the standard unit in many trigonometric applications.
Video consigliato:
Percorso guidato
5:04
Converting between Degrees & Radians
Understanding π as a Constant
π (pi) is an irrational constant approximately equal to 3.14159, representing the ratio of a circle's circumference to its diameter. Expressing angles as multiples of π provides a precise and standardized way to represent radian measures.
Video consigliato:
Percorso guidato
6:02Stretches and Shrinks of Functions
Simplifying Radicals and Fractions
After converting degrees to radians, the result should be simplified as a fraction multiplied by π. Simplifying fractions ensures the answer is in its simplest form, making it easier to interpret and use in further calculations.
Video consigliato:
Percorso guidato
4:02Solving Linear Equations with Fractions
Pratica correlata
Domanda del libro di testo
A point P(x, y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t.
<IMAGE>
385
views
Domanda del libro di testo
Use the unit circle shown to find the value of the trigonometric function.
tan 11𝜋/6
972
views
Domanda del libro di testo
Find the length of the arc on a circle of radius 20 feet intercepted by a 75° central angle. Express arc length in terms of 𝜋. Then round your answer to two decimal places.
602
views
Domanda del libro di testo
In Exercises 1–4, a point P(x, y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t.
813
views
Domanda del libro di testo
In Exercises 1–8, use the Pythagorean Theorem to find the length of the missing side of each right triangle. Then find the value of each of the six trigonometric functions of θ.
1359
views