IP - Trig Identities

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the definition of tangent (tan) in terms of sine and cosine?
Back
tan(x) = sin(x) / cos(x)
2.
FLASHCARD QUESTION
Front
What is the definition of cosecant (csc)?
Back
csc(θ) = 1 / sin(θ)
3.
FLASHCARD QUESTION
Front
What is the definition of secant (sec)?
Back
sec(θ) = 1 / cos(θ)
4.
FLASHCARD QUESTION
Front
What is the Pythagorean identity involving sine and cosine?
Back
sin²(θ) + cos²(θ) = 1
5.
FLASHCARD QUESTION
Front
What is the relationship between secant and tangent?
Back
sec²(x) = 1 + tan²(x) (Pythagorean Identity)
6.
FLASHCARD QUESTION
Front
What is the relationship between cosecant and cotangent?
Back
csc²(θ) = 1 + cot²(θ) (Pythagorean Identity)
7.
FLASHCARD QUESTION
Front
Simplify: tan(x) * csc(x)
Back
sec(x)
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