1. sin x csc x = 1 2. tan x csc x + cotx sin x = sec x + cos x Pythagorean Identities 3. cos? x (1 + tan? x) = 1 Multiply 4. sin?x(csc?x + sec?x) = sec?x Factor tan?x-sec?x 5. tan x-sec x = tan x + sec x Add Fractions sin x 1+ cos x 6. = 2 csc x 1+ cos x sin x Even/Odd 7. sin?(-x) + cos?x = 1 Sum/Difference Formulas sin(a- b) 8. cos a cos b = tan a cot b – 1
1. sin x csc x = 1 2. tan x csc x + cotx sin x = sec x + cos x Pythagorean Identities 3. cos? x (1 + tan? x) = 1 Multiply 4. sin?x(csc?x + sec?x) = sec?x Factor tan?x-sec?x 5. tan x-sec x = tan x + sec x Add Fractions sin x 1+ cos x 6. = 2 csc x 1+ cos x sin x Even/Odd 7. sin?(-x) + cos?x = 1 Sum/Difference Formulas sin(a- b) 8. cos a cos b = tan a cot b – 1
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
#4
![1. sin x csc x = 1
2. tan x csc x + cotx sin x = sec x + cos x
Pythagorean Identities
3. cos? x (1+ tan² x)
1
Multiply
4. sin?x(csc²x + sec²x) = sec?x
Factor
tan?x-sec?x
5.
tan x-sec x
= tan x +E sec x
Add Fractions
sin x
1+ cos x
6.
= 2 csc x
1+ cos x
sin x
Even/Odd
7. sin?(-x) + cos?x
= 1
Sum/Difference Formulas
sin(a, b)
8.
cos a cosb
= tan a cot b – 1
Double Angle/Half Angle Formulas
9. 1+ cos 2x = 2 cos? x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e7c38ad-8699-4091-975b-dd1d68c1d50d%2F189b62f2-dbac-4d08-81a8-0c04264e20de%2Fhoc2d3a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. sin x csc x = 1
2. tan x csc x + cotx sin x = sec x + cos x
Pythagorean Identities
3. cos? x (1+ tan² x)
1
Multiply
4. sin?x(csc²x + sec²x) = sec?x
Factor
tan?x-sec?x
5.
tan x-sec x
= tan x +E sec x
Add Fractions
sin x
1+ cos x
6.
= 2 csc x
1+ cos x
sin x
Even/Odd
7. sin?(-x) + cos?x
= 1
Sum/Difference Formulas
sin(a, b)
8.
cos a cosb
= tan a cot b – 1
Double Angle/Half Angle Formulas
9. 1+ cos 2x = 2 cos? x
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