Question

Determine the limit of (tsint)/(1-cost). I get tripped up as soon as any trig gets involved :)

Answer 1

cos2a=1-2sin^2a
take a=t/2
cost=1-2sin^2(t/2)
2sin^2(t/2)=1-cost

Answer 2

tsint/(2sin^2(t/2))

Answer 3

as t tends to zero sint/t=1
use this and solve

Answer 4

Awesome thank you!

Answer 5

Ah I forgot to mention, as t approaches 0