The point P in the figure below has y-coordinate 15 /17 .

Question

I have to find sin(t), cos(t), tan(t) and sec(t)

I know sin(t) is 15/17, I'm having trouble finding the rest

Answer 1

Assuming that we are in the first quadrant, cost = √ (1 - sin²t) = 8/17

tant = sint / cost = 15/8 and sect = 1/cost = 17/8

Answer 2

if r=1

correction, since I don't have graph, point could be in 1st or 2nd quadrant

x=+/-√(1-(15/17)²)

are the pair of x coordinates possible on unit circle, angle/arc length =t₀

t₀=sin^-1(15/17) degrees or t₀=180 degrees -[sin^-1(15/17) degrees]

cos(t₀)=x

sec(t₀)=1/x

tan(t₀)=y/x