Basic Concepts
Angles
Angle Relationships and Similar Triangles
Definitions of Trigonometric Functions
Identities of Trigonometric Functions
100

The Pythagorean theorem.

What is a2+b2=c2?

100

An acute angle.

What is between 0 to 90 degrees?

100

The interior angles on same side of transversal.

What are angle measures that add to 180 degrees? 

100

The value of sine for the angles in standard position having the point (-4,-3).

What is sin(theta) = (-3/5)?

100

The value of sin(alpha), if csc(alpha)= sqrt(15). Rationalize the denominator.

What is sin(alpha)= sqrt(15)/15?

200

The signs of (x,y) in quadrant II.

What is (-,+)?

200

The measure of each angle of supplementary angles, angle 1= (6x) degrees and angle 2= (3x) degrees. 

What is angle 1= 120 degrees and angle 2= 60 degrees?

200

A scalene triangle.

What is no sides are equal?



200

The value of tangent for the angles in standard position having the paint (-2sqrt(3), -2). Rationalize the denominator.

What is tan(theta)= sqrt(3)/3? 

200

Is it impossible or possible that cot(alpha)= -12.1.

What is possible?

300

The distance between (5sqrt(7),-3) and (-sqrt(7), 8sqrt(3)).

What is d= 3sqrt(55)?

300

180 degrees - 124 degrees 51'. 

What is 55 degrees and 9'? 

300

The measure of the third angle. The given angles are 136 degrees 50' and 41 degrees 38'.

What is 1 degree 32'?

300

The value of secant of theta. 6x-5y=0, x is greater than or equal to 0.

What is sec (theta)= sqrt(61)/5?

300

The pythagorean identity of csc2(theta). 

What is 1+cot2(theta)=csc2(theta)?

400

The midpoint of the segment with endpoints (8,-4) and (-9,6).

What is midpoint=(-1/2, 1)?

400

The smallest positive measure coterminal with the angle -98 degrees.

What is 262 degrees?

400

The unknown angle measures in similar triangles, triangle ACB and triangle DFE. Angle A=40 degrees and angle F=78 degrees.

What is angle C=78 degrees, angle B=62 degrees, angle D=40 degrees, and angle E= 62 degrees?

400

The value of cotangent for the angles in standard position having the point (-4,0).

What is cot(theta)= Undefined?

400

The value of sin(theta) if sec(theta)= 2, with theta in quadrant IV.

What is sin(theta)= -sqrt(3)/2?

500

The Area of an isosceles triangle that has congruent sides of 20 cm and a base of 10 cm. Round to the nearest hundreth.

What is A=96.82 cm2?

500

An airplane propeller rotates 1000 times per minute. The number of degrees that a point on the edge of the propeller will rotate 1 second. 

What is 6000 degrees?

500

The Santa Cruz lighthouse casts a shadow 28 meters long at 7 p.m. At the same time, the shadow of the light house keeper, who is 1.75 meters tall, is 3.5 meters long. The height of the lighthouse.

What is 14 meters tall?

500

The values for cosecant at 0 degrees, 90 degrees, 180 degrees, 270 degrees, and 360 degrees.

What is csc(theta)= Und.,1,Und.,-1, Und.?

500

The value of sin(theta) and cos(theta), if tan(theta)=12/5 in quadrant I.

What is cos(theta)=5/13 and sin(theta)=12/13?

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