Question

Given secθ=6/5 and tanθ<0, how do you find the values of the other five trigonometric functions?

Answer 1

Find 6 trig function values, knowing sec `x = 6/5` and tan x < 0.

Explanation:

`sec x = 6/5`--> `cos x = 5/6` --> arc `x = +- 33^@56.`
Since tan x < 0, then `x = -33^@56.`
sin (- 33.56) = - 0.55
`tan (-33.56) = - 0.55/0.83 = - 0.66`
`cot (-33.56) = 1/(tan) = - 1.51`
`sec (-33.56) = 6/5`
`csc (-33.56) = 1/(sin) = 1/-0.55 = -1.82`