Q#1 Please simplify the following trig expressions using the above tools. a) csc sec - tan b) sin²x-sin²x cos²x Final Answer Final Answer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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Definitions: 6 Trig Functions using both SOHCAHTOA & other Trig Functions (like tanx = sinx/cosx)
Pythagoras: c²=a²+ b² or H²=A²+0²
Even/Odd: cos & sec drop "-" like cos(-x) = cosx), all others "-" popped out like (tan(-x) = - tanx
Period: tan & cot period of like tan(x±n^)= tan x, all others period of 27 like sin(x±2n^) = sin x
Co-Functions: cos(x) = sin(x/2 − x), cot(x) = tan(x/2 − x), csc(x) = sec(π/2 − x)
Squared Trig IDs: sin ²0+ cos²0=1, sec²0-tan²0=1, csc²0- cot²0=1
Q#1 Please simplify the following trig expressions using the above tools.
a) csc sec - tan
b) sin²x-sin²x cos²x
Final Answer
Final Answer
Transcribed Image Text:Definitions: 6 Trig Functions using both SOHCAHTOA & other Trig Functions (like tanx = sinx/cosx) Pythagoras: c²=a²+ b² or H²=A²+0² Even/Odd: cos & sec drop "-" like cos(-x) = cosx), all others "-" popped out like (tan(-x) = - tanx Period: tan & cot period of like tan(x±n^)= tan x, all others period of 27 like sin(x±2n^) = sin x Co-Functions: cos(x) = sin(x/2 − x), cot(x) = tan(x/2 − x), csc(x) = sec(π/2 − x) Squared Trig IDs: sin ²0+ cos²0=1, sec²0-tan²0=1, csc²0- cot²0=1 Q#1 Please simplify the following trig expressions using the above tools. a) csc sec - tan b) sin²x-sin²x cos²x Final Answer Final Answer
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