Trig Identities
Which trig function is equivalent to 1/csc x ?
sin x
What is sin 30 degrees?
1/2
What is pi/3 radians equal to?
60 degrees
What is sin x = 1/2 over [0, 2pi)?
pi/6, 5pi/6
What are the rectangular coordinates for (4, 2pi/3)?
(-2, 2sqrt3)
What does sin2x + cos2x equal?
1
What is csc 60 degrees?
(2 sqrt3)/3
Special Question: Who is this talented artist?
Rick Astley
What are all the solutions of the equation 2 sin x -1 =0 over [0, 2pi)?
pi/6, 5pi/6
What is the equation r = 5sec x in rectangular form?
x = 5
What does tan2x + 1 equal?
sec2x
If cos30 degrees = b/12, what is b?
6 sqrt3
What is the length of an arc of a circle with radius 10m that subtends a central angle of 30 degrees?
5pi/3 m
What are the values of x in the equation 4 cos2x - 4 cos x + 1 = 0 over [0, 2pi)?
pi/3, 5pi/3
What symmetry does the graph of the equation r = 1 + 2 cos x have?
x-axis
What is sin2x equal to?
2sinxcosx
How many triangles satisfy the conditions where angle A = 42 degrees, a = 70 and b= 122?
0
What is the area of a sector of a circle with central angle 60 degrees if the radius of the circle is 3 m?
(3pi/2) m2
In the equation 1 + sin x = 2cos2 x, what are two values of x over [0, 2pi)?
pi/6, 5pi/6, 3pi/2
What is the modulus of 8 - 5i?
sqrt 89
What is [2sin(x + y)/2] [cos (x-y)/2] equal to?
sinx + siny
In triangle ABC, angle A = 45 degrees, a = 7 sqrt2, b = 7. What is sin B?
1/2
What is the length of the arc for a circle of radius 9 and a central angle of 5pi/6?
(15/2) pi
What are all the solutions to the equation sin 2x - cos x = 0 for x in [0, 2pi)?
pi/2, 3pi/2, pi/6, 5pi/6
If z1 = 2(cos (pi/4) + isin (pi/4))
and
z2 = 5(cos (pi/3) + isin (pi/3))
what is z1z2?
10(cos (7pi/12) + isin (7pi/12))