Simplifying Trig Expressions
Flashcard
•
Mathematics
•
8th Grade - University
•
Practice Problem
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the definition of secant (sec)?
Back
Secant is the reciprocal of cosine, defined as sec(x) = 1/cos(x).
Tags
CCSS.HSF.TF.A.2
2.
FLASHCARD QUESTION
Front
What is the Pythagorean identity involving secant?
Back
The Pythagorean identity is sec²(x) = 1 + tan²(x).
Tags
CCSS.HSF.TF.C.8
3.
FLASHCARD QUESTION
Front
How do you simplify tan²(x) using the Pythagorean identity?
Back
Using the identity, tan²(x) = sec²(x) - 1.
4.
FLASHCARD QUESTION
Front
What is the definition of cotangent (cot)?
Back
Cotangent is the reciprocal of tangent, defined as cot(x) = 1/tan(x).
Tags
CCSS.HSF.TF.A.2
5.
FLASHCARD QUESTION
Front
What is the relationship between cotangent and tangent?
Back
cot(x) = 1/tan(x) and tan(x) = 1/cot(x).
Tags
CCSS.HSF.TF.A.2
6.
FLASHCARD QUESTION
Front
What is the definition of tangent (tan)?
Back
Tangent is defined as tan(x) = sin(x)/cos(x).
Tags
CCSS.HSF.TF.A.2
7.
FLASHCARD QUESTION
Front
What is the value of tan(90°)?
Back
tan(90°) is undefined because cos(90°) = 0.
Tags
CCSS.HSF.TF.A.2
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