# Test1sol - 1 Fill in Quadrant III of the unit circle in the...

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1. Fill in Quadrant III of the unit circle in the picture below. Include angles in both degree and radian measurements, as well as values for r and g coordinates at each angle. kl-*a] -L Ito I {e-,:L} tr

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2. Refer to the facts about the period and even/oddness of sin I and cos I on the first page. (a) Show that csc(l - 4tr) - csc(t). csc (t -ar) = Le L (l + ln!-g) I = -=- sx/t' +r?(-rD I =- S '\(t) = csc (t) - catk) (b) Show that cot(-l):€ cot (-t) : .os (-t) s\ (- t) = ,ot t!") - sx(t) -Ltt(t)
Let f (r) : I sin(2r + i) + t. (a) State the amplitude ot f (n). a-: i 2 (b) State the period ot f(r). b= 2 4 pu;&= +: lf (c) What is the phase shift of /(r)? t=+= T=+ %rc (d) What is the vertical shift of /(r)? d.t=)uPl (e) Graph two periods of /(z). tt^L /e(+

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(a) What quadrant is I in? Q'"il*v W (b) Find an appropriate reference angle 9' for 0. --r\ Tf + e'" h -, t0 =+ b'= 4 6 (c) What is sind'? S,\
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Test1sol - 1 Fill in Quadrant III of the unit circle in the...

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