Practice Flashcards
What is sec θ?
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All Flashcards in Topic 3.11
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3.11.18 cards
What is sec θ?
sec θ = 1/cos θ (the reciprocal of cosine).
What is csc θ (cosec θ)?
csc θ = 1/sin θ (the reciprocal of sine).
What is cot θ?
cot θ = 1/tan θ = cos θ / sin θ (the reciprocal of tangent).
State the three Pythagorean identities.
sin²θ + cos²θ = 1; 1 + tan²θ = sec²θ; 1 + cot²θ = csc²θ.
How do you derive 1 + tan²θ = sec²θ?
Divide sin²θ + cos²θ = 1 throughout by cos²θ.
How do you derive 1 + cot²θ = csc²θ?
Divide sin²θ + cos²θ = 1 throughout by sin²θ.
What is the co-function relationship sin(90° − θ)?
sin(90° − θ) = cos θ (and cos(90° − θ) = sin θ).
Best first step when a trig expression won't simplify?
Rewrite everything in sin and cos, combine over a common denominator, then use sin²+cos²=1.
Topic 3.11 study notes
Full notes & explanations for Trig relationships (HL only)
Math AA exam skills
Paper structures, command terms & tips
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