If θ is an angle in standard position that terminates in quadrant iii such that tanθ = 5/12, then sinθ/2 =

.

Step-by-step explanation:

,

such that

.

As a result,

,

such that

Let

.

.

By the double angle identity for tangents.

.

.

.

Solve this quadratic equation for :

Discard for it is not smaller than zero.

Let .

.

By the definition of tangents:

.

Apply the Pythagorean Algorithm to express the cosine of in terms of . Note that is expected to be smaller than zero.

.

Solve for :

.

.

.

Therefore

.

b

step-by-step explanation:

if a was wrong then it has to be b it cant be c either because not all the y intercepts are the same!

ok now , i would like brainlest plz

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: