Question

If tanx=-3/4,x is in the 2nd quadrant.Find sinx/2,cosx/2,tanx/2.
help pls. no spam​

Answer 1

Answer:

tanx = (p/b) = 3/4

h =√p2+b2

= √9+16

=√25

= 5

sinx = 3/5

cosx = 4/5

now we will use some identities

cos(x/2) = (1+cosx)/2

= (1+4/5)/2

= (5+4)/5*2

cos(x/2)= 9/10

sin(x/2) = (1-cosx)/2

= (1-4/5)/2

sin(x/2)= 1/10

tan(x/2) = sin(x/2) / cos(x/2)

= 1/10 / 9/10

= 1/9