TRIGONOMETRIC V



TRIGONOMETRIC and HYPERBOLIC FUNCTIONS

|TRIGONOMETRIC |HYPERBOLIC |

|DEFINITIONS, RELATIONSHIPS, DERIVATIVES, & INTEGRALS: |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|  |[pic] |  |[pic] |

| |[pic] | |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] | |

|[pic] | |

|SUM, DOUBLE, & HALF 'ANGLE' IDENTITIES: |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|INVERSE FUNCTION RELATIONSHIPS: |

|[pic] |[pic] |[pic] |[pic] |

|[pic] |[pic] |[pic] | |

|[pic] |[pic] |[pic] |[pic] |

| | |  | |

| | | |[pic] |

|DERIVATIVES OF INVERSE FUNCTIONS: |

|[pic] |[pic] |

|[pic] |[pic] |

|[pic] |[pic] |

|SPECIAL IDENTITIES |

|ASTC = AllSinTanCos = + function in Q1,2,3,4 respectively |

|[pic] |

| 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 |

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download