-15n sec 4
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
Find exact value :
![The expression displayed is a trigonometric function given by:
\[
\sec\left(\frac{-15\pi}{4}\right)
\]
Here, \( \sec \) represents the secant function, which is the reciprocal of the cosine function. The input to the secant function is an angle in radians, specifically \( \frac{-15\pi}{4} \). This expression is typically evaluated to understand the trigonometric properties at the given angle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58499046-086a-4660-af23-4374372978d6%2F51400605-cfc8-4d94-aae5-474babebaf19%2F5d0vrz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The expression displayed is a trigonometric function given by:
\[
\sec\left(\frac{-15\pi}{4}\right)
\]
Here, \( \sec \) represents the secant function, which is the reciprocal of the cosine function. The input to the secant function is an angle in radians, specifically \( \frac{-15\pi}{4} \). This expression is typically evaluated to understand the trigonometric properties at the given angle.
![The image displays a mathematical expression involving the trigonometric function cotangent:
\[
\cot\left(\frac{20\pi}{3}\right)
\]
This expression represents the cotangent of the angle \( \frac{20\pi}{3} \). In trigonometry, the cotangent function is the reciprocal of the tangent and is used to find the ratio of the adjacent side to the opposite side in a right-angled triangle.
To simplify \( \frac{20\pi}{3} \), note that it can be reduced by considering the periodic nature of trigonometric functions, where \( 2\pi \) corresponds to a full circle (360 degrees).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58499046-086a-4660-af23-4374372978d6%2F51400605-cfc8-4d94-aae5-474babebaf19%2F7b2l5ut_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image displays a mathematical expression involving the trigonometric function cotangent:
\[
\cot\left(\frac{20\pi}{3}\right)
\]
This expression represents the cotangent of the angle \( \frac{20\pi}{3} \). In trigonometry, the cotangent function is the reciprocal of the tangent and is used to find the ratio of the adjacent side to the opposite side in a right-angled triangle.
To simplify \( \frac{20\pi}{3} \), note that it can be reduced by considering the periodic nature of trigonometric functions, where \( 2\pi \) corresponds to a full circle (360 degrees).
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