Trigonometry by Kwabe

Unit Circle

100

What do x and y represent on the unit circle?

Cosine and Sin, respectively.

200

In what quadrants is cotangent negative?

1 and 3.

300

Using a Unit Circle, convert 2𝝅/3  radians to degrees.

120 degrees.

400

if sin(x)= 3/7 and x is in the second quadrant, find cos(x)

cos(x) = -(2 * root(10)) / 7

500

If cos(x) = 24/25 and t is in the 4th quadrant, find sin(x)

sin(x) = -7/25

Trig Functions

100

What is the ratio of 2 sides for a sin function?

Opposite/Hypotenuse

200

Evaluate sin(30).

0.5

300

tan((2pi)/2)

hint: you're overthinking it

0

400

sin^-1(3/(x√2))=45

x=3

500

General solution of: 3tan³(x) − 3tan²(x) − tan(x) + 1 = 0

x = (180n)° ± 30°, (180n)° + 45° for all integers n

Simplifying Trig Equations

100

sin90+sin90

2. That's easy though. Choosing this one is disappointing. NO GOLD STAR FOR YOU!

200

csc x sec x – tan x  

cot x

300

 cot x – csc²x * cot x

-cot³x

400

(tanx+(sinx*secx)/(cscx*tanx)

2sinx

500

(  ((cosx)(cotx)) / (secx+tanx)  )  +  ( (sinx) / (secx-tanx)  ) 

cot x - cos x + tan x + (sinx*tanx)