(1)   sin(−θ) = −sin(θ)

(2)   cos(−θ) = cos(θ)

(3)   tan(−θ) = −tan(θ)

(4)   cot(−θ) = −cot(θ)

(5)   sec(−θ) = sec(θ)

(6)   csc(−θ) = −csc(θ)

Example:

For sin  θ = ½, determine sin(−θ) and csc(−θ)


Solution:

sin(−θ) = −sin(θ) = −½

csc(θ) = 1/sin(θ) = 1/(½) = 2

csc(−θ) = −csc(θ) = −2