Angles
Angles in standard position with the same terminal arm.
What are coterminal angles?
The correct way to present an answer for an angle when no domain is stated.
What is general form?
The point A(-sqrt(3)/2,-1/2) lies on the unit circle with an angle of x . The value of cosx and sinx , respectively, are ____________.
cosx=-sqrt(3)/2
sinx=-1/2
The ratio for sin(2) .
sin(2)=0.909
The value(s) of theta when costheta=1/2 .
theta=60°, 300° + 360°n, n ∈ I
or theta=pi/3, (5pi)/2 +2pin, n ∈ I
An angle, theta, formed between the positive x-axis and the terminal arm.
What is the angle in standard position?
The equation of a circle with a radius of 5.
What is
x^2+y^2=25?
The radius of a circle, to the nearest tenth, when costheta=2/3 and sintheta=-7/6.
r=4.3
The ratio for sec^2((4pi)/2) .
sec^2((4pi)/2)=1
The value(s) of theta for sintheta=-1/2 when -360°le theta lt 360°.
theta = -150°, -30°, 210°, 330°
An angle, theta , formed between the terminal arm and the closest x-axis.
What is the reference angle?
A student attempted to solve csc(3/pi) . Their work: csc(3/pi)=sin(pi/3)=sqrt(3)/2
The student's error was _______________.
What is reciprocating the angle?
True or False: Given tanP=1.33 for the point P(0.6,0.8), P does not lie on the unit circle.
What is false?
The exact value of csc(-(4pi)/3).
csc(-(4pi)/3)=(2sqrt3)/3
The factors of cot^2theta-5cottheta=-4.
(cottheta-4) and (cottheta-1)
A ratio necessary for converting from radians to degrees.
What is
180/pi?
The value of x when sinD=-2/3 and cosD is negative for the point D(x,-2).
x=-sqrt(5)
The exact value for costheta=3 .
What is no solution?
The value(s) of C , in radians, for secC=-(2sqrt3)/3 .
C=(5pi)/6,(7pi)/6 +2pin, n ∈ I
The value of theta for sin^2theta-1=0 when 0letheta<(3pi)/2 .
theta=pi/2
A crucial step in calculating arc length when r=2 and theta=45° .
What is converting to radians?
The ratio of sectheta is 3 . The positive ratio of sintheta in simplest exact form is _____________.
sintheta=(2sqrt(2))/3
Two points subtended by an arc length with an angle that is (5pi)/6 radians, with one of the points laying in the first quadrant.
What are many possible answers?
But some examples:
(-sqrt(3)/2,-1/2) and (1/2,sqrt(3)/2)
(sqrt3/2,1/2) and (-1,0)
The exact ratio of
sec^2(45°)-sin((5pi)/3)cot(-pi/3).
3/2
The value(s) of c for sec3c-sqrt2=0 in the first quadrant.
c=15°+360°n, n ∈ I
or c=pi/12+2pin, n ∈ I