Quad/Ident
In Terms of Another
Rewrite and Simplify
Unit Circle
Grab Bag
100
If
sin x = \frac{-3}{5}
and x is in Quadrant III, find cos(−x)
cos(-x) = -4/5
100
Write sin x in terms of cos x.
(+/-) sqrt(1-cos^2(x)
100
Rewrite
(1+tan^2(x))/sec(x)
in terms of sin x and cos x, simplify your results, and then make sure that there are no quotients.
1/(cos(x)) =sec(x)
100
Find the exact value of
tan((5pi)/6)
-sqrt3/3
100
If
sin x = 0.422618
find the measure of the angle x in degrees.
25^0
200
If
cos x = -\frac{7}{25}
and x is in Quadrant II, find sec(−x)
sec(-x)=-25/7
200
Write cos x in terms of sin x.
(+/-) sqrt(1-sin^2(x)
200
Write
(csc^2(x)-1)/csc(x)
in terms of sin x and cos x, simplify, and then make sure there are no quotients.
1/sin(x) -sin(x)=csc(x)-sin(x)
200
Find the exact value of
cot(- (4pi)/3)
- sqrt3/3
200
Find x and the measure of the angles marked,
x=10, 55^0
300
If
tan x = 4/9
and x is in Quadrant I, find sin(−x)
sin(-x)=-(4sqrt97)/97
300
Write csc x in terms of tan x.
(+/-)sqrt(1+tan^2(x))/(tan(x)
300
Write
1/(sec(x)+tan(x)
in terms of sin x and cos x, simplify, and write so that there are no quotients.
(1-sin(x))/cos(x) =sec(x)-tan(x)
300
Find the exact value of
sec(- (21pi)/4)
-sqrt2
300
Given
cos(theta+4)=sin(3theta+2)
find the measure of
theta
theta=21^0
400
If
csc x=- 13/5
and x is in Quadrant IV, find
cos x
cos x = 12/13
400
Write csc x in terms of cot x.
+/-
sqrt(cot^2(x)+1
400
Write
tan x/(sec^2(x)-1
in terms of sin x and cos x, simplify, and write so there are no quotients.
cos(x)/sin(x) = cot(x)
400
Find the exact value of
csc((23pi)/3)
- (2sqrt3)/3
400
A ship leaves port and sails on a bearing of
N 47^0 E
for 3.5 hours. It then turns and sails on a bearing of
S 43^0 E
for 4.0 hours. If the ship's rate is 22 nautical miles per hour, find the distance the ship is from the port.
The ship is 120 nautical miles from the port.
500
If
cot x = - 8/15
and x is in Quadrant II, find
sin x
sin x = 15/17
500
Write sec x in terms of sin x.
+/-
1/sqrt(1-sin^2(x)
500
Write
(tan(x)+sec(x))/csc(x)
in terms of sin x and cos x, simplify, and write so there is no quotients.
sin^2(x)/cos(x) +sin(x)/cos(x) =sin(x)tan(x)+tan(x)
500
Find the exact value of
tan(- (13pi)/6)
- sqrt3/3
500
Find x and y
x = 38 and y = 25