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Nitella [24]
3 years ago
6

Find the exact value of tan(pi/12) using the sum and difference formulas

Mathematics
2 answers:
kari74 [83]3 years ago
7 0
Π/12 is half of π/6, which is 30 degree
tan(α/2)=(1-cosα)/sinα)
plug in the values: tan(π/12)=(1-cosπ/6)/sin(π/6)=(1-√3/2)/(1/2)=2-√3
JulsSmile [24]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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Determine the length of the base and the corresponding height of ABC, and use them to find the area of ABC.
aleksklad [387]

The area of the triangle is 30 units^2. the height of the triangle is 4 units.

<h3>What is the area of the triangle?</h3>

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle can be calulated by the herons formula

base of ABC = AC = 15 units

Height of ABC = 4 units

Semi perimeter s = 5 + 12.65 + 15/ 2 = 32.65 / 2 = 16.32

Herons formula

Area = \sqrt{s(s-a) (s-b)(s-c)}\\\\Area = \sqrt{16.32(16.32-5) (16.32-12.65)(16.32-15)}\\\\Area = \sqrt{16.32(11.32) (3.675)(1.32)}\\\\Area = 29.93

Area of ABC is 30 units^2 approximately.

Height of the triangle = 2( area) / base

                                    = 2( 30) / 15

                                    = 4.

WE can see that

Area of ABC = 1/2 (base) (height)

                     = 1/2 (15 units) (4 units)

                      = 30 units^2

Learn more about the area;

brainly.com/question/1658516

#SPJ1

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Step-by-step explanation:

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