find all six trig functions

Question

if angle A=60° find all six trig functions for a 40°60°90° right triangle

Answer 1

You probably meant 30 60 90 right triangle. They have to sum to 180, for opposite sides of those angles it's a 1 sqr3 2 ratio right triangle

for 30 degrees

sin30 = 1/2

csc 30 = 2

cos = sqr3/2

sec= 2/sqr3

tan= 1/sqr3

cot = sqr3

for 60 degrees

sine = sqr3/2

cosecant = 2/sqr3

cosine = 1/2

secant =2

tan = sqr3

cotangent = 1/sqr3

for 90 degrees

sine = 1

cosecant is 1

cosine = 0

secant is undefined (1/0)

tangent is undefined (1/0)

cotangent = 0