Jeopardy: Trig Identities -Reese Murray

Reciprocal Properties

100

1/cscx

sinx

200

sinx cosx

1

300

sin x=3/7         csc x=?

7/3

400

(sinx+cosx)² 

2sinx+1

500

tan x=3           cot x=?

1/3

Quotient Properties

100

sinx/cosx

tanx

200

cotx

cosx/sinx

300

cos0= 3/11 &  sin0= 5/11, what is tan0

tan0= 5/3

400

cos0= 5/7 &  sin0=2/7, what is cot 0

cot0=5/2

500

tan0 = 12/5 & cos0 =5/9, what is sin0

sin0= 4/3

Pythagorean Properties

100

cos²x+sin²x

1

200

sec²x

tan²x+1

300

cot²x

csc²x-1

400

tanx²0 - 1/cos²0= ?

-1

500

1+tan²0=?

sec²0