TRIGONOMETRIC V
TRIGONOMETRIC and HYPERBOLIC FUNCTIONS
|TRIGONOMETRIC |HYPERBOLIC |
|DEFINITIONS, RELATIONSHIPS, DERIVATIVES, & INTEGRALS: |
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|SUM, DOUBLE, & HALF 'ANGLE' IDENTITIES: |
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|INVERSE FUNCTION RELATIONSHIPS: |
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|DERIVATIVES OF INVERSE FUNCTIONS: |
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|SPECIAL IDENTITIES |
|ASTC = AllSinTanCos = + function in Q1,2,3,4 respectively |
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| trig(θ) = (ASTC±)trig(RA)€€€ (RA = reference angle) |
| trig(π−θ) = (ASTC±)trigθ€€€ (treat θ as RA; then (π−θ) is in Quadrant 2: sin = +) |
| trig(π+θ) = (ASTC±)trigθ€€€ (treat θ as RA; then (π+θ) is in Quadrant 3: tan = +) |
| trig(2π−θ) = (ASTC±)trigθ€€€ (treat θ as RA; then (2π−θ) is in Quadrant 4: cos = +) |
| trig(−θ) = (ASTC±)trigθ€€€ (treat θ as RA; then −θ is in Quadrant 4: cos = +) |
|TRIANGLE FORMULAE |
|[pic] Law of Sines |
|[pic] Law of Cosines |
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