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Andrei [34K]
3 years ago
10

HELP!! What is the exact value of Tangent (pi/12)

Mathematics
2 answers:
Firdavs [7]3 years ago
8 0

Answer: Option 4 or D) 1/2-sqrt3

Step-by-step explanation: EDGE 2021

Vlad1618 [11]3 years ago
6 0

Answer:

2 - sqrt(3)

Step-by-step explanation:

Split pi/12 into two angles where the values of the six trigonometric functions are known.

tan (pi/4 - pi/6)

Apply the difference of angles identity

\frac{tan(pi/4) - tan(pi/6)}{1 + tan(pi/4)tan(pi/6)}

tan(pi/4) = 1 , tan(pi/6) = (sqroot3)/3

Plug in and Simplify

\frac{1-\frac{\sqrt{3} }{3} }{1+1\frac{\sqrt{3} }{3} }

\frac{\frac{3-\sqrt{3} }{3} }{\frac{3+\sqrt{3} }{3} }

\frac{3-\sqrt{3} }{3} *\frac{3}{3+\sqrt{3} }

\frac{3-\sqrt{3} }{3+\sqrt{3}} Need to multiply this by \frac{3+\sqrt{3} }{3+\sqrt{3} }

Expand and simplify numerator: \frac{6}{(3+\sqrt{3} )^{2} }

Expand and simplify denominator: \frac{6}{12+6\sqrt{3}}

Cancel the common factor: \frac{1}{2+\sqrt{3}}

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Verizon [17]
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6 0
3 years ago
What is the perimeter of the rectangle? one side is 6in. and the A=30 sq in.
monitta
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30/6=5
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3 0
3 years ago
Read 2 more answers
Calculate the volume of each diagrams.
wariber [46]

The volume of the solid objects are 612π in³ and 1566πcm³

<h3>Volume of solid object</h3>

The given objects are composite figures consisting of two shapes.

The volume of the blue figure is expressed as;

Volume = Volume of cylinder + volume of hemisphere

Volume = πr²h + 2/3πr³

Volume =  πr²(h + 2/3r)

Volume =  π(6)²(13+2/3(6))

Volume = 36π(13 + 4)

Volume = 612π in³

For the other object

Volume = Volume of cylinder + volume of cone

Volume = πr²h + 1/3πr²h

Volume =  π(9)²(15) + 1/3π(9)²(13)

Volume=  81π (15+13/3)
Volume= 1566πcm³

Hence the volume of the solid objects are 612π in³ and 1566πcm³

Learn more on volume of composite figures here: brainly.com/question/1205683

#SPJ1

8 0
2 years ago
Write 10 12/5 as an equivalent improper fraction
romanna [79]
10 \frac{12}{5} = \frac{(10 X 5 ) + 12}{5} 
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8 0
3 years ago
Molly was allowed to trick or treat from 6:30 pm to 8:45pm if she averaged coating 2 houses every 9 minutes during that time how
MissTica

Answer:

30 houses

Step-by-step explanation:

Time from 6:30 pm to 8:45 pm = 2 hr 15 min

Time in minutes = (2 hr × 60 min/hr) + 15 min = 135 min

Average visit = 9 min per 2 houses = 4.5 min per house

Number of visits = 135 min ÷ 4.5 min/house = 30 houses

3 0
3 years ago
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