Explain thanks Given that sin t 35 and that t lies in pi2 p

Explain. thanks.

Given that sin t = 3/5 and that t lies in [pi/2, pi], find each of the following. Cos t tan t csc t For each of the following, find all values of x in [0, pi] that satisfy the equation. cos x = 1/2 sin x = 1/2 sec x = 2/root 3

Solution

sin(t) =3/5 pi/2 <t <pi

cost = -4/5 (ans)

tant = -3/4 (ans)

sect = -5/4 (ans)

cos(x) =1/2

x = pi/3 radian =60 degree (ans)

sinx =1/2

x=pi/6 & 5pi/6 radian (ans)

x =30 degree & 150 degree (ans)

sec x =2/sqrt3

cosx =sqrt3/2

x = pi/6 radian =30 degree (ans)