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December 14th BOOK 4.2 copyright2009merrydavidson
Happy Birthday to Hira Saleem & Shayna Faith Richardson December 14th BOOK copyright2009merrydavidson Factor Completely: 1) 27x3 + 64 2) x4 – 1 3) x2 – xy – 2y2 Simplify: 4) ) (x+1)(x-1)(x2 + 1) (3x + 4)(9x2 – 12x + 16) (x +y)(x – 2y)
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Special Right Triangles
S O H C A H T O A
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S O H C A H T O A r y Reciprocal functions Parent functions x
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Special Right Triangles 30o, 45o, 60o
You must memorize these!!! 60o The x-value is the cosine of that angle. The y-value is the sine of that angle. Use the pythagorean theorem to find the sides.
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Paper Plates Label co-ordinates on your plate by each special angle.
(cosine, sine) Be careful with + and – signs.
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All Students Take Classes
QII: sin/csc QI: all Determine in which quadrant each trig function is positive. QIII: tan/cot QIV: cos/sec
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Practice….. negative positive negative
Would the cosine of a -120o angle be positive or negative? Would the cotangent of an 82o angle be positive or negative? Would the secant of a -98o angle be positive or negative? negative positive negative
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Evaluating Trig Functions:
Use your Plate, find the angle, evaluate. Rationalize the denominator as needed. 1: Find the six trig. values for 300. sin 300o = csc 300o = cos 300o = sec 300o = tan 300o = cot 300o =
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Evaluating Trig Functions:
Use your Plate, find the angle, evaluate. Rationalize the denominator as needed. 1: Find the six trig. values for -5/4. sin = csc = cos = sec = tan = cot =
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Find the sine of the angles listed. 30o = 390o = -330o =
What is the NAME of the type of these 3 angles? co-terminal angles What conclusion can you make? Co-terminal angles have the same trig values. It takes 360o to get to the same trig value, thus the PERIOD for the sine and cosecant function is 360o.
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Find the cosine of the angles listed. 60o = 420o = -300o =
It takes 360o to get to the same place, thus the PERIOD for the cosine and secant function is 360o.
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Find the tangent of the angles listed. 45o = 225o = -135o =
It takes 180o to get the same trig value, thus the PERIOD for the tangent and cotangent function is 180o.
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sin/csc/cos/sec have a period of 360o.
Summary of Period sin/csc/cos/sec have a period of 360o. tan/cot have a period of 1800. BE CAREFUL TO NOT USE CAPITAL LETTERS. WE WILL LEARN THAT LATER
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HW: WS 6-3
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