Find the values of sine, cosine, tangent, cosecant, secant, and cotangent for the angle θ in standard position on the coordinate plane with the point (3,7) on its terminal side

Question

sin 0 = ?

cos 0 = ?

tan 0 = ?

csc 0 = ?

sec 0 = ?

cot 0 = ?

Answer 1

hypotenuse squared = 3^2 +7^2 = 9+49 = 58

hypotenuse = square root of 58

h=sqr58

o=opposite side = 7

a=adjacent side = 3

sinx=o/h, cscx =h/9

cosx =a/h, secx = h/a

tanx =o/a, cotx = a/o

sinx = 7/sqr58

cosx = 3/sqr58

tanx = 7/3

cotx = 3/7

cscx = sqr58/7

secx = sqr58/3