Homework Help is Here – Start Your Trial Now!
Math
Algebra
If sec(t) = -3 and sin(t) <0, find the value of each of the six trigonometric functions of t.

If sec(t) = -3 and sin(t) <0, find the value of each of the six trigonometric functions of t.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
Question
**Problem 4:** If \( \sec(t) = -3 \) and \( \sin(t) < 0 \), find the value of each of the six trigonometric functions of \( t \). **Explanation:** You are given the secant and sine conditions for an angle \( t \). Based on these, determine the values of the sine, cosine, tangent, cotangent, secant, and cosecant functions for \( t \). Since \( \sec(t) = -3 \), then \( \cos(t) = -\frac{1}{3} \). Use the Pythagorean identity and the quadrant information to find the other trigonometric functions. Given \( \sin(t) < 0 \), \( t \) is in the third quadrant where both sine and cosine are negative.
Transcribed Image Text:**Problem 4:** If \( \sec(t) = -3 \) and \( \sin(t) < 0 \), find the value of each of the six trigonometric functions of \( t \). **Explanation:** You are given the secant and sine conditions for an angle \( t \). Based on these, determine the values of the sine, cosine, tangent, cotangent, secant, and cosecant functions for \( t \). Since \( \sec(t) = -3 \), then \( \cos(t) = -\frac{1}{3} \). Use the Pythagorean identity and the quadrant information to find the other trigonometric functions. Given \( \sin(t) < 0 \), \( t \) is in the third quadrant where both sine and cosine are negative.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS