Ms. Bragg's Courses | Stay up-to-date with your math class!
MHF4UNAME: ________________________ DATE: _____________6.1-6.4 CLASS NOTES6.1 – Radian MeasureAngles can be measured in Degrees, Revolutions & Radians. Radian Measure:The size of an angle is expressed in terms of the length of an arc, a, that subtends (“joins the ends of”) the angle θ, at the center of a circle with radius r. 55054521590000Recall: The arc length created by a 360° angle will be equal to the circumference of a circle. Recall: the formula of the circumference of a circle: _________________. Let’s figure out the radian measure (θ) of a full circle! Therefore, the radian measure of a full circle is:_____________PRACTICE EXAMPLE 1: Starting at 0°, draw a diagram to represent each radian measure.32194515367000PRACTICE EXAMPLE 2: Convert the following into radian measures. PRACTICE EXAMPLE 3: Convert the following into degree measures:6.1 Homework: P. 320 #1-4, 7-86.2 – Radian Measure & Angles on the Cartesian PlaneRecall: Special Triangles & Cartesian Plane! Determine the length of the missing sides and the radian measures for the angles. 466598020002500215011024574500-85090000Determine the EXACT value of each Trig Ratio:RadiansDegrees0π6π4π3π2π3π22πsin θcos θtan θcsc θsec θcot θRecall: Cartesian Grid & C.A.S.T. Rule436245-210121500PRACTICE EXAMPLE 1: State an equivalent expression in terms of the RAA. Helpful Hints:1) Determine which quadrant the terminal arm is in. Recall that π=180° 2) The RAA is ALWAYS “attached” to the x-axis. Never the y-axis. PRACTICE EXAMPLE 2: Evaluate using the related angle identities; Give exact values!PRACTICE EXAMPLE 3: Determine the exact value for the following:PRACTICE EXAMPLE 4: Determine the exact value for the following:PRACTICE EXAMPLE 5: 6.2 Homework: P. 330 #1acd, 2ac, 3-7, 9, 11, 13, 156.3 – Sketching the Base Graphs of Trigonometric FunctionsComplete the table of values for 0≤x≤2π and sketch the graph of the functions. y=sin xValue of x(radians)0π6π3π22π35π6π7π64π33π25π311π62πValue of x(degrees) Exact ValueDecimal Valuey=cos xValue of x(radians)0π6π3π22π35π6π7π64π33π25π311π62πValue of x(degrees) Exact ValueDecimal Valuey=tan xValue of x(radians)0π6π3π22π35π6π7π64π33π25π311π62πValue of x(degrees) Exact ValueDecimal Valuey=csc xValue of x(radians)0π6π3π22π35π6π7π64π33π25π311π62πValue of x(degrees) Exact ValueDecimal Valuey=sec xValue of x(radians)0π6π3π22π35π6π7π64π33π25π311π62πValue of x(degrees) Exact ValueDecimal Valuey=cot xValue of x(radians)0π6π3π22π35π6π7π64π33π25π311π62πValue of x(degrees) Exact ValueDecimal ValueComplete the following chart that summarizes the characteristics of the primary and reciprocal trigonometric functions. Characteristicy=sinxy=cosxy=tanxy=cscxy=secxy=cotxDomainRangeMaximum ValueMinimum ValueAmplitudeAxisPeriodx - interceptsy - intercepts6.3 HOMEWORK: P. 349 #1-66.4 – Sketching the Base Graphs of Trigonometric Functions676275163195008.4 HOMEWORK: P. 343 #1, 4-6 ................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.