Evaluate the exact value: tan(pi/6)

Mathematics

2 answers:

IRISSAK [1]2 years ago

6 0

The answer is sq root 3/3.

---------Apex

Sedbober [7]2 years ago

4 0

Pi/6 = 180°/6 = 30°

This produces a triangle that has 30-60-90 angles.

Its short leg will measure = y = sinΘ
Its long leg will measure = x = √1-y² = sin(2Θ)
Its hypotenuse will measure = 1

Tangent Θ = opposite / adjacent or short leg / long leg
Tan(pi/6) = 1/3 √3

You might be interested in

Which rational number does not have a reciprocal

Dmitriy789 [7]

Answer:

the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].

Step-by-step explanation:

8 0

2 years ago

Translate this sentence into an equation.

motikmotik

Answer:

g = 61.

Step-by-step explanation:

g + 9 = 70 Subtract 9 from both sides of the equation:

g + 9 - 9 = 70 - 9

g = 61.

4 0

2 years ago

Can't figure out how to set up and check to see if right. 8/11(n-10)=64

strojnjashka [21]

Answer:

Step-by-step explanation:

$\frac{8}{11}(n-10)=64\\\\\frac{8(x-10)}{11}=64\\ 8(x-10) = 64(11)\\8(x-10) = 704\\8x-80 = 704\\8x= 704+80\\8x=784\\\\\frac{8x}{8}=\frac{784}{8} \\x=98$

7 0

2 years ago

How do you divide fractions?

PSYCHO15rus [73]

Quite a broad question. 10/2 you divide by 2 which equals 5. Is that your question?

4 0

2 years ago

Read 2 more answers

How can i estimate a number from a bar graph??

olga55 [171]

You should first find out what lines are what,
Like for example, If you had 5 - 10 - 15 as the Y Lines and the bar was between 5 and 10 then your best bet would be to estimate what the middle of 5 and 10 is which would be 7 or 8.

8 0

2 years ago