Half Angles

Question 1

sin^2(x)

Answer 1

(1-cos2x)/2

Question 2

cos^2(x)

Answer 2

(1+cos2x)/2

Question 3

tan^2(x)

Answer 3

(1-cos2x)/1+cos2x

Question 4

sin(x/2)

Answer 4

sqrt((1-cos2x)/2)

Question 5

cos(x/2)

Answer 5

sqrt((1+cos2x)/2)

Question 6

tan(x/2)

Answer 6

+sqrt((1-cosx)/1+cosx)
-sqrt((1-cosx)/1+cosx)
(sinx)/1+cosx
(1-cosx)sinx