Trig Identities 1
Special Triangles
Signs of the times
Go Figure
Out of the Blue
100

The inverse trig function of sine

What is cosecant?

100

standard length, used in trig, of the opposite side of 30 degrees in a 30-60-90 triangle

What is 1?

100

Quadrant where sine is positive and cosine is negative

What is II?

100

Height of tree (to the nearest foot) that casts a 50 foot shadow when the sun is at an angle of 30 degrees with the ground

What is 29 feet?

100

Country that invented trigonometry

What is Greece?

200

The inverse trig function for secant

What is cosine?

200

Standard length, used in trig, of the adjacent side of the 60 degree angle in a 30-60-90 triangle

What is 1?

200

Quadrant in which cosine is positive and sine is negative?

What is IV?

200

Vertical drop of a ski slope that is 4000 feet long and has an incline of 30 degrees

What is 2000 feet?

200

Period and amplitude of y = sin x

What is 2 pi and 1?

300

The inverse trig function for cotangent

What is tangent?

300

The standard length of the hypotenuse in a 30-60-90 triangle used in trig

What is square root of 2?

300

Quadrant of quadrants in which tangent theta could be negative

What are quadrants II and IV?

300

Length of guy wire (to the nearest foot) needed to support a 200 foot pole if the guy wire is connected at the top of the pole and is at a 45 degree angle

What is 200 times square root of 2, or 283 feet?

300

Exact value of arctan(1)

What is 45 degrees, or pi/4?

400

The pythagorean trig identity involving sine and cosine

What sin2theta + cos2theta = 1?

400

Angle measure, in radians, when cosecant theta = 2

What is pi/3? (60 degrees)

400

Quadrant or quadrants in which secant theta can be positive

What is I and II?

400

Horizontal distance (to the nearest foot) a hot air ballon is from you if you use a laser device that tells you the balloon is 3000 feet from you at an angle of 50 degrees

What is 4667 feet?

400

Value in degrees of angle or angles where tangent theta equals -1/radical 3

What are 150 degrees and 330 degrees?

500

The pythagorean trig identity involving secant and tangent trig functions 

What is 1 + tan2theta = sec2theta?

500

Angle measure in radians, when cotangent theta equals square root of 3

What is pi/6? (30 degrees)

500

The only quadrant or quadrants in which sine, cosine, and tangent theta are all negative

What is no quadrants?

500

Distance traveled (to the nearest foot) around a 150-foot radius circular track if you go 3 quarters around

What is 707 feet?

500

Sec (60) = 2; cos 30 = ?

What is (square root of 3)/3?