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

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Step-by-step explanation:

,

such that

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As a result,

,

such that

Let

.

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By the double angle identity for tangents.

.

.

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Solve this quadratic equation for :

Discard for it is not smaller than zero.

Let .

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By the definition of tangents:

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

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Solve for :

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.

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Therefore

.

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.

rotation point l

step-by-step explanation: