Right Triangle Trig
Trig Functions of Acute Angles
Trig Functions of Any Angle
Trig Functions Using Unit Circle
Properties of Trig Functions
100
Draw and label (all angles and all sides) of the following right triangles:
45^o-45^o-90^o
30^o-60^o-90^o
100
Find the exact value of:
4cos45^o-2sin45^o
4(sqrt2/2)-2(sqrt2/2)=sqrt2
100
Name the quadrant where the following is true:
sinθ<0, cosθ>0
Quadrant IV
100
Find the exact value of the following:
sin((11pi)/2)
sin((11pi)/2)=sin((3pi)/2)=-1
100
Find the exact value of the following expression:
sin^(2)35^(o)+cos^(2)35^(o)
sin^(2)35^(o)+cos^(2)35^(o) = 1
200
Find the six trig values of the angle θ of the triangle below:
sinθ=sqrt2/2, cosθ=sqrt2/2, tanθ=1
cscθ=sqrt2 ,secθ=sqrt2, cotθ=1
200
Find the exact value of:
sin^(2)30^(o)+cos^(2)60^(o)
(1/2)^2+(1/2)^2=1/2
200
A point on the terminal side of an angle θ in standard position is given by the point (-3, 4). Find the six trig functions of θ.
sinθ=4/5, cosθ=-3/5, tanθ=-4/3
cscθ=5/4, secθ=-5/3, cotθ=-3/4
200
Find the exact value of the following:
cos((-3pi)/2)
cos((-3pi)/2)=cos(pi/2)=0
200
Find the exact value of the following expression:
sin(196^o)*csc(196^o)
sin(196^o)*(1/(sin196^o))=1
300
Find the six trig values of the angle θ of the triangle below:
sinθ =sqrt5/5 , cosθ =(2sqrt5)/5 , tanθ =1/2
cscθ =sqrt5 , secθ = sqrt5/2 , cotθ =2
300
Find the exact value of:
sin(pi/6)*tan(pi/3)
(1/2)*(sqrt3)=sqrt3/2
300
Find the exact value of the following:
tan480^o
tan480^o=tan120^o=-sqrt3
300
Find the six trig values of the following angle:
(3pi)/2
sin((3pi)/2)=-1, cos((3pi)/2)=0, tan((3pi)/2)=Ø
csc((3pi)/2)=-1,sec((3pi)/2)=Ø, cot((3pi)/2)=0
300
Find the exact value of the following expression:
tan75^(o)-(sin75^(o)/cos75^(o))
tan75^(o)-(tan75^o)=0
400
Given sin60^o=sqrt3/2
find the value of
sec(pi/6)
(2sqrt3)/3
400
A 22-foot extension ladder leaning against a building makes a 60-degree angle with the ground. How far up the building does the ladder touch?
11sqrt3 ft.
400
Find the exact value of the following:
sin((-3pi)/4)
sin((-3pi)/4)=sin((5pi)/4)=-sqrt2/2
400
Find the six trig values of the following angle:
7pi
sinpi=0,cospi=-1,tanpi=0
cscpi=Ø,secpi=-1, cotpi=Ø
400
Find the exact value of the following expression:
(sin(-20^o)/cos380^o)+tan200^o
((-sin20^o)/cos20^o)+((sin20^o)/cos20^o)=(-sin20^(o)+sin20^(o))/cos20^o
500
Given sec θ = 3, find the value of
sin^2θ
sin^2θ=((2sqrt2)/3)^2=8/9
500
A radio transmission tower is 200 feet high. How long should a guy wire be if it is to be attached to the tower 10 feet from the top and is to make an angle of 45-degrees with the ground?
190sqrt2 ft.
500
Find the exact value of the following:
tan40^(o)+tan140^o
0
500
Find the exact value of the following expression:
sin(pi/4)+sin((3pi)/4)+sin((5pi)/4)+sin((7pi)/4)
sqrt2/2+sqrt2/2-sqrt2/2-sqrt2/2=0
500
Find the exact value of the following:
sin1^(o)+sin2^(o)+sin3^(o)+ ... + sin357^(o)+sin358^(o)+sin359^(o)
0