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ollegr [7]
3 years ago
7

Simplify 90/105. show work.

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0
90/105... divide the top and bottom by 5 so you get 18/21 then divide by 3 so you get 6/7 or just divide by 15 at the beginning and get 6/7. The answer is 6/7 
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Answer:

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Step-by-step explanation:

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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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Answer:

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Step-by-step explanation:

θ ∈(π,3π/2)

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As a result,

0<sin θ/2<1, and

-1<cos θ/2<0

tan θ/2=sin  θ/2/cos θ/2

such that

tan θ/2<0

Let

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Solve this quadratic equation for t :

t1=1/5 and

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0<s<1.

By the definition of tangents.

tan θ/2= sin θ/2/ cos θ/2

Apply the Pythagorean Algorithm to express the cosine of θ/2 in terms of s. Note the cos θ/2 is expected to be smaller than zero.

cos θ/2 = -√1-(sin θ/2)^2 = - √1-s^2

Solve for s.

s/-√1-s^2 = -5

s^2=25(1-s^2)

s=√25/26 = 5√26/26

Therefore

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Step-by-step explanation:

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