Show:
sin
cos
tan
cot
100

sin 225

- root of 2 over 2

100

cos 135

- root of 2 over 2

100

tan 330

- root of 3 over 3

100

cot 270

0

200

the formula of sin(x+y)

sinx*cosy+cosx*siny

200

cos(x-y)

cosx*cosy+sinx*siny

200

tan(x+y)

tanx+tany

——————

1-tanx*tany

200

cot(x-y)

1+tanx*tany

—————

tanx-tany

300

sin 75

root of 2 + root of 6

——- - - - - - -

4

300

cos 75

Root of 6 - root of 2

—————-

4

300

Tan195

2-root of 3

300

Cot75

2-root of 3

400

sin15

root of 6 - root of 2

———- —- —

4

400

cos(15)

Root of 6 + root of 2

————————

4

400

Tan(-105)

2+root of 3

400

Cot15

2+root of3

500

sin(p/12)

Root of 6 - root of 2

———————-

4

500

Cos(17p/12)

Root of 6 - root of 2

———————

4

500

Tan(p+x)=tanx

tanx=tanx

500

Tana=-1 and tanb=-3/4 are given.

find cot(a-b)

-7