Find the six function values

Question

Given that sinθ=1/5 and that the terminal side is in quadrant II, give an exact answer for each of the six function values for pi/2-θ AND θ-pi/2.

(Simplify your​ answer).

Answer 1

sinT=1/5 =cos(90-T)=cos(T-90)

cscT=1/sinT=5 =sec(90-T)=sec(T-90)

cosT=-sqr24/5=sin(90-T)=-sin(T-90)

secT=1/cosT=-5/sqr24 =csc(90-T)=-csc(T-90)

tanT=-1/sqr24 =cot(90-T)=-cot(T-90)

cotT=1/tanT=-sqr24= tan(90-T)=-tan(T-90)

in quadrant 2 only sinT and cscT >0

for even f(x)=f(-x),, only cosT and secT are even,

the other 4 trig functions sre odd

for odd f(x)=-f(-x)