Use the given value and the trigonometric identities to find the remaining trigonometric functions of the angle.

Question

Use the given value and the trigonometric identities to find the remaining trigonometric functions of the angle.
sec(θ) = − 3/2 cot(θ) > 0
sin(θ) =

cos(θ) =

tan(θ) =

csc(θ) =

cot(θ) =

Answer 1

First, write the identities for each.

Sec= -3 = h.

___.

2 =a. Then use a^2 + b^2 =c^2. =(-3)^2 +(2)^2 =c^2.

= 9 +4 = c^2.

= 13= c^2.

c= sq rt 13. =3rd side (opp).

Sin= opp = - sqrt 13.

____ _________.

hyp = 3.

Cos adj = -2.

_____ _____.

hyp 3.

Tan = opp = - sqrt 13.

____ _________.

adj 2.

Csc = hyp = -3.

______ _____.

opp Sqrt 13.

Cot = adj =2.

___ _____.

opp Sqrt 13.

Hope this helps.