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Your Identity, Basically
Simply Done
Pythagoras, Pythagoras
Easy as Pi
Unit Circle
100
1 / (sin x)
What is csc x?
100
(sec x)(cos x)
What is 1?
100
sin²x + cos²x
What is 1?
100
Solutions 0 to 90 degrees for sin x = √3 / 2
What is 60 degrees?
100

Find cos(5π/6)

What is -√3/2

200
(sin x) / (cos x)
What is tan x?
200
(tan x)(cos x)
What is sin x?
200
1 + cot²x
What is csc²x?
200
Solutions 0 to π for cos x = ½
What is π/3?
200

Find tan(4π/3)

What is √3

300
1 / (sec x)
What is cos x?
300
(sec x) / (tan x)
What is csc x?
300
1 - cos²x
What is sin²x?
300

Solution 0 to 360 degrees for sinx  = 1

What is 90 degrees?

300

Find sec(2π/3)

What is -2

400
(cos x) / (sin x)
What is cot x?
400

sin x (csc x - sec x)

What is 1 - tan x?

400
sec²x - 1
What is tan²x?
400

Where is sinx = cosx on the interval [0, 2π ) ?

What is π/4 and 5π/4

400

Evaluate arctan(√3/3)

Answer: π/6

500
cos (-x)
What is cos x?
500
csc x - sin x
What is (cos²x) / (sin x) or (cos x)(cot x) ?
500
(1 + csc x)(1 - csc x)
What is -cot²x ?
500

Where is secx = cscx on the interval [0, 2π ) ?

What is π/4 and 5π/4

500

Evaluate cos(arctan 1)

Answer: √2/2