Pythagorean Identities 3. cos? x (1+ tan? x) = 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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Question
#3
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
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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