Question

show that Cot 5π/12= 2-√3​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

that's your answer

Step-by-step explanation:

Split

5

π

12

into two angles where the values of the six trigonometric functions are known.

cot

(

π

6

+

π

4

)

Apply the sum of angles identity.

cot

(

π

6

)

cot

(

π

4

)

−

1

cot

(

π

4

)

+

cot

(

π

6

)

The exact value of

cot

(

π

6

)

is

√

3

.

√

3

cot

(

π

4

)

−

1

cot

(

π

4

)

+

cot

(

π

6

)

The exact value of

cot

(

π

4

)

is

1

.

√

3

⋅

1

−

1

cot

(

π

4

)

+

cot

(

π

6

)

The exact value of

cot

(

π

4

)

is

1

.

√

3

⋅

1

−

1

1

+

cot

(

π

6

)

The exact value of

cot

(

π

6

)

is

√

3

.

√

3

⋅

1

−

1

1

+

√

3

Simplify

√

3

⋅

1

−

1

1

+

√

3

.

Tap for more steps...

2

−

√

3

The result can be shown in multiple forms.

Exact Form:

2

−

√

3

Decimal Form:

0.26794919

…

([)]|√>≥

789÷<≤°θ

456/×π

123-^∞

0.,+%=