Identity Crisis
Around the Unit Circle
Obtuse Observations
Direction and Magnitude
Double Trouble
100
What does S O / H C A/H T 0 /H stand for?
sin(theta) = (opp)/(hyp)
cos(theta) = (adj)/ (hyp)
tan(theta) = (opp)/ (adj)
100
Solve sinx+2=3 from [3pi,4pi] .
no solution
100
What Law do you use for a triangle that has more sides than angles?
Law of Cosines
100
What symbol means magnitude and what symbol means direction?
normvecv
theta
100
Using the sum and difference formula which trig function is equivalent to sin97cos43 + cos97sin43 (in degrees)?
A. sin(140)
B. sin(54)
C. cos(140)
D. cos(54)
sin(140)
200
What is the single trig expression for costheta (csctheta-sectheta)+ 1 ?
A. costheta
B. cottheta
C. tantheta
D. csctheta
cottheta
200
Solve cotx-sqrt3=0 from [0,2pi] .
pi/6 and (7pi)/6
200
What law would you use here and why?
Law of Sines because there are more angles than sides, or because this triangle is ASA.
200
What is the component or unit form for a vector whose initial point is (-5, 3) and terminal point is (-11, -7)?
< -6, -10 > or -6i -10j
200
What is the single trig representation for cos^2(105) - sin^2(105) (in degrees)?
A. tan(210)
B. sin(105)
C. cos(210)
D. cos(105)
cos(210)
300
What is the reciprocal of csc(theta) ?
sin(theta)
300
Solve 3tan^2x-9=0 from ((3pi)/2, 3pi) . Round to the nearest thousandths.
7.532
300
Determine the measure of angle C (in degrees) for Triangle ABC when a = 4.3in, c = 13in, and b = 14in. Round to the nearest tenths.
67.8 degrees
300
What is normvect if vect = <5, -13 > ? Round to the nearest thousandths.
13.928
300
If cos(theta) = 5/9 then what would be sin(theta) = ?
0.831 (2*sqrt14)/9 or
400
What single trig function is sin(pi/2-theta) ?
cos(theta)
400
Solve sin^2xcosx=cosx from [0, 2pi] .
pi/2 and (3pi)/2
400
Determine the length of c for Triangle ABC when A = 76 degrees, B = 57 degrees, and a = 9m. Round to the nearest hundredths.
6.78
400
What is the direction of vector -4i - 7j ? Round to the nearest hundredths.
60.26
400
If cotx = -15/17, 180 <=x<=270 (in degrees), then find tan(x/2) .
-4
500
Simplify the following expression to a single trig with no denominator. csc^2x-cot^2x
-csc^2x
500
Solve tanxcscx-2tanx=0 from [(3pi)/2, 4pi].
(13pi)/6 and (17pi)/6
500
In Triangle RST, r = 8.4 cm, t = 8.1 cm and Angle T = 71 degrees. Rind all the possible values of angle R to the nearest tenth of a degree.
78.7 degrees and 101.3 degrees
500
Determine the direction of vecu + vecv when vecu = <4, 7> and vecv = <4, -9> . Round to the nearest degree.
346 degrees
500
If sinA = -3/5, pi<=A<=(3pi)/2 and cosB = 12/13, (3pi)/2<=B<=2pi , then what is cos(2A) ?
0.28