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Identities I

100

1-2cos^2x+cos^4x 

What is 

sin ^4x ?

200

sin(90+x)  

What is 

cos 90 ?

300

 cos (x-pi) 

What is 

-cosx

400

 True or false: sin x=sin(-x) 

What is 

false?

500

(sin^3x+sinxcos^2x)/cosx 

What is 

tan x ?

Odd, Even or Neither

100

f(x)=sin(2x)

What is 

odd?

200

g(x)=2 sin x cos x

What is 

odd?

300

f(t)=tan t +2

What is 

neither?

400

g(x)= sin x/x

What is 

even?

500

h(x) = csc x²

What is 

even?

I love pi(e)!

100

cot x sin x - cos² x sec x =

What is 

0?

200

 sin x/csc x+cos x/sec x

What is 

1?

300

 cos(-pi/2)cos(pi/5)+sin(pi/2)sin(pi/5) 

What is 

(3pi)/10

400

 (tan (pi/7)+cot((pi/2)-(pi/6)))/(1+tan (-pi/7)tan(pi/6) 

What is 

tan((13pi)/42) ?

500

 cos((5pi)/12)=sin (?) 

What is 

((pi)/12) ?

I love trig!

100

sin (pi/9) = cos (?) 

What is 

(7pi)/18 ?

200

tan (pi/6)=cot (?)

What is

pi/3 ?

300

tan(pi/4+pi/3)

What is 

-2-sqrt3 ?

400

 sin(pi/4+pi/3) 

what is 

(sqrt2+sqrt6)/4 ?

500

 sin (90+a) 

What is 

cosa ?

Identities II

100

Find the exact value of  sin (a+b) given that  sin a = 3/5 and  sin b=5/13 with a in Quadrant II and b in quadrant I.

What is 

16/65?

200

Simplify ((cosatana+1)(sina-1))/cos^2a 

What is 

-1?

300

 (sin^2x-cos^2x)/(1-2cos^2x 

What is 

1 ?

400

  tan ((7pi)/12) 

What is 

-2-sqrt3 ?

500

 sin (180-a) 

What is 

sin a ?