This trig ratio's inverse identity is:
1/sin(theta)
What is
csc(theta)?
This degree approximation is the calculation of sin(Z) 
What is
sin^-1(21/35)approx36.9?
Quick calculator work will tell you this FRACTIONAL RATIO of sin(48.5904) in degrees.
What is
0.74999564=3/4?
The answer to this question is three.
How many legs are in a triangle?
The measure in radians of an angle is pi/4 which converted to degrees produces this angle.
What is 45?
This trig ratio's inverse identity is
sec(theta)
What is
1/cos(theta)?
One of the angles in a right triangle measures of 21 degrees. These are its other two angles.
What are 90 and 69?
Quick calculator work will tell you this DECIMAL APPROXIMATION of sin(22.6199) in degrees.
What is
0.3846?
The sum of the squares of the legs of a right triangle is equal to the this measure.
What is the square of the hypotenuse?
All measurements for
x -coordinates in the unit circle are negative in these quadrants.
What are quadrant two and quadrant three?
or
What are the quadrants to the left of the origin.
This trig ratio has two identities. Its quotient identity is
cos(theta)/sin(theta)
What is
cot(theta)?
This degree approximation is the calculation of cos(Z)
What is
cos^-1(28/35)approx36.9?
Judy was given a right triangle with sin(7/16) given as one of its measures. Judy knew to draw the hypotenuse of the triangle THIS length.
What is 16 units?
Aloysius is trying to find this measurement for a leg of a right triangle with two legs measuring 60 and 11.
He knows this measurement must be the hypotenuse.
What is 61?
Students should know the shortest leg of a 30/60/90 degree triangle IN THE UNIT CIRCLE is this value.
What is 1 unit?
This would be the simplified version of the following identity
sin(theta)tan(theta)csc(theta)cot(theta)
What is
1?
One of the angles in a right triangle measures 75 degrees. These are its other two angles.
What are 15 and 90?
Judy was given a right triangle with sin(5/13) given as one of its measures. Judy knew THESE were the lengths of the three legs of the triangle.
What are 5, 13, and 12?
In a 45/45/90 degree triangle, Julie knows that the hypotenuse measures 4sqrt2 which tells her the other legs are this measurement.
What is 4 units?
Without calculating the ratio, students should know the longest leg of a 30/60/90 degree triangle IN THE UNIT CIRCLE is this value.
What is 2?
This trigonometry theorem is based on work by the Pythagoreans.
What is
sin^2(theta)+cos^2(theta)=1?
This degree approximation is the calculation of tan(X) 
What is
tan^-1(28/21)approx53.1?
Quick calculator work will tell you the hypotenuse of the right triangle given by the following ratio
sin(48.5904)
What is
4?
In a 45/45/90 degree triangle, Jackson knows that one leg measures 3 which tells them the hypotenuse is this measurement.
What is
3sqrt2 or 4.24?
Students know that a circle is composed of this many radians.
What is
2pi?