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# 6.2 - 6.2 Tri onometric Function Unit Circle A roach The...

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Unformatted text preview: 6.2 Tri onometric Function Unit Circle A roach The Unit Circle Q .2) PERM s ziunits s m if} units P :— (X. y) Let 1.‘ be a reai number and let P = (x, y) be the point on the unit circle that corresponds to '1‘. The Sine function associates with I the y-coordinate of P and is denoted by The cosine function. associates with l [the AI~COOIGiﬂﬂL€ of P and is claimed. by If x # 0; Lbs tangent functiim associates with. i the. ratio of the ”rewarding: 1.0 to the x~coordinate of P and is denoted by If y aé 0. the cosecant function is defined. as Tri onometric functions of an le s 3 HI wxiis, in: 0 If 6 = r radians. the xix trigononletric functions of the angle 6‘ are defined as 1. Find the exact values of the tri onometric functions usin a point on the unit circle. Let t be a real number and let P = [—— —] be a point on the unit circle that corresponds to 1‘. Find the values of sinz‘, cost, tanz‘, csct, sect, and cotz‘. 2. Find the exact values of the Tri onometric functions of Quadrantal Angles. Find the exact values of the Six trigonometric functions of: (a) 6 2 0 2 0° (b) 9 = 4:3 = W Quadrantal' Angles H (Radians) 6 (Degrees) sin 9 cos 3 tan :9 cot H 0° 1 0 Not deﬁned Not deﬁned 90° Not deﬁned 1 Not deﬁned 0 0 Not deﬁned —l Not deﬁned Not deﬁned —1 Not deﬁned 0 3. Find the Exact Values of the Trigonometric Functions of £=4y 4”? . , . .. . . . 7T _ , End the exact values of the SIX t1'1gonomet1'1c functlons 0t ‘— = 4:)". Find Izhe exact value of each expression. (a) sin 1 800 cos 45° 0'32 J1 O (b) sin E cos 7: —- sin 3—7: 4 2 f.— 4. Find the Exact Values of the Trigonometric Functions of Z=30°£=60°_ 9, 6 3 W b yr 7, ‘3" \7b \’/b\ or ,b 3 x- :a ”9" /2- Fmd the exact values 01' the trlgonometrlc functlons of 7 ) ll 30"“. 6 (Radians) 6 (Degrees) sin 6 sec 9 cot 6 30° 45° 60° 5. Find the Exact values of the Tri onometric Functions for 71' 072' °”—4y Integer Multiples of E = 30 g = 60 Z _ (c) sin315° 6. Use a Calculator to Aggroximate the value of a Trigonometric Function Use a calculator to find the approximate value of: (a) cos 48° (b) tan% (c) 36010 Express your answers rounded to two decimal placeg. \$04110: -——-—l 605 [0 wail—- ...
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6.2 - 6.2 Tri onometric Function Unit Circle A roach The...

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