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Tips For Learning Trig Rules

Tips For Learning Trig Rules. Reciprocal Rules. Learn:. Pythagorean Identities. Learn Derive the others by dividing. is. is. Co-Function Rules. Remember that cofunction rules come from complementary angles (meaning they sum to 90 o or π /2).

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Tips For Learning Trig Rules

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  1. Tips For LearningTrig Rules

  2. Reciprocal Rules Learn:

  3. Pythagorean Identities • Learn • Derive the others by dividing. is is

  4. Co-Function Rules Remember that cofunction rules come from complementary angles (meaning they sum to 90o or π/2). Therefore trig(x) = co-trig(π/2 – x). This works for any of the co---- functions. Example: csc(x) = sec(π/2 – x)

  5. Odd – Even Functions Recall: Even functions have f(-x) = f(x). (Symmetry about the y-axis) Odd functions have f(-x) = -f(x) (Symmetry about the origin) Remember: cos and sec are the only even functions. All others are odd. Therefore: cos(-x) = cos(x) and sec(-x) = sec(x) For all other functions follow the pattern: sin(-x) = -sin(x) tan(-x) = -tan(x) etc

  6. General Principles • If you see squares such as cos2x, sin2x, tan2x think Pythagorean Identities. • If you have tan and cot mixed with sin and cos, use the tan x = sin x / cos x rules. • If there are negatives in the angle such as sec(-x), use odd/even rules. • If there are π/2 – x or 90o – x in the angle, use cofunction rules.

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