Trigonometric Function Values
Quadrantal Angles
Identify Quadratic Angles
Finding Trigonometric Function Values with one value
Reference angles
100
The terminal side of an angle in standard position passes through the point (4,3). Find the values of the sinθ= and cotθ=
sinθ=
3
⁄
5
cotθ=
4
⁄
3
100
Find cosθ with an angle of 180°
cosθ=-1
100
Identify the quadrant of an angle θ that satisfies the given conditions cscθ>0, tanθ>0
Quadrant I
100
Find cotθ, given that tanθ=
5
⁄
6
cotθ=
6
⁄
5
100
Find the reference angle of 265°
θ'=85
200
The terminal side of an angle in standard position passes through the point (24,-7). Find the values of the cosθ= and tanθ=
cosθ=
24
⁄
25
tanθ=
-7
⁄
24
200
Find secθ with an angle of 720°
secθ=1
200
Identify the quadrant of an angle θ that satisfies the given conditions cosθ<0, cscθ>0
Quadrant II
200
Find secθ, given that sinθ=
4
⁄
5
secθ=
5
⁄
3
200
Find the reference angle of 32°
θ'=32°
300
The terminal side of an angle in standard position passes through the point (18,24). Find the values of the tanθ= and cscθ=
tanθ=
24
⁄
18
cscθ=
30
⁄
24
300
Find tanθ with an angle of 270°
tanθ= Undefined
300
Identify the quadrant of an angle θ that satisfies the given conditions tanθ>0, cotθ>0
Quadrant III and Quadrant I
300
Find secθ, given that tanθ=
2
⁄
1
secθ=
/5
⁄
1
300
Find the reference angle of 142°
θ'=38°
400
The terminal side of an angle in standard position passes through the point (12,16). Find the values of the secθ= and cscθ=
secθ=
20
⁄
12
cscθ=
20
⁄
16
400
Find sinθ with an angle of 90°
sinθ=1
400
Identify the quadrant of an angle θ that satisfies the given conditions sinθ<0, cscθ<0
Quadrant III and Quadrant IV
400
Find cscθ, given that cotθ=
4
⁄
7
cscθ=
4
⁄
/65
400
Find the reference angle of 719°
θ'=1°
500
The terminal side of an angle in standard position passes through the point (7,12). Find the values of the cotθ= and cosθ=
cotθ=
7
⁄
12
cosθ=
7/193
⁄
193
500
Find cotθ with an angle of 180°
cotθ=0
500
Identify the quadrant of an angle θ that satisfies the given conditions secθ>0, tanθ>0
Quadrant I
500
Find cotθ, given that cscθ=4
cotθ=/15
500
Find the reference angle of 1,234°
θ'=26
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