Trig of any angle
What two quadrants can contain an angles that has a cos value of 1/2?
I and IV
The point
(-sqrt2/2, sqrt2/2)
is on the unit circle. Find cos θ.
cos theta = -sqrt2/2
The point
(-sqrt3/2, -1/2)
is on the unit circle. Find sin θ.
sin theta = -1/2
Where is tan(x)>0 and sin(x)<0
III
What are the coordinates on the unit circle of the angle
(7\pi)/6
?
(-\sqrt3/2,-1/2)
The exact value of
tan(120^@)
What is
-sqrt3
?
Find the exact value of:
sec((7pi)/4)
\sqrt2
Where is cos(x)>0 and csc(x)<0
IV
What is the sin of an angle that contains an endpoint of (-8,15)?
15/17
Find the exact value of
csc(390^o)
2
Find the exact value of:
cos(990^o)
0
Where is cot(x)<0 and csc(x)>0
What is the csc of an angle that contains an endpoint of (-1,-2)?
-\sqrt(5)/2
The exact value of
tan(-(13pi)/6)
What is
-sqrt3/3 ?
sec(-150^o)
Find the exact value of
(2\sqrt3)/3
2/\sqrt3
Where is sec(x)>0 and [sin(x)]*[cos(x)]<0
IV
Find the remaining 5 trig functions of θ, given:
sin theta =5/13, pi/2<theta<pi
cos theta =-12/13,
tan theta = -5/12,
csc theta = 13/5,
sec theta = -13/12,
cot theta = -12/5
Find the exact value of:
2sin 45^o + 6cos 30^o
sqrt2+3sqrt3
Find the exact value of:
(sin 60^o) (tan 30^o)
(sqrt3/2)(sqrt3/3)=3/6=1/2
Where is (csc(x))(sec(x))>0 and cot(x)>0
III