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Value of tan 60

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Value of tan 60

Posted by Madhu Devi 6 years, 1 month ago

CBSE > Class 10 > Mathematics

8 answers

Vineet Seervi 6 years, 1 month ago

To find the value of tan 60 degrees geometrically, consider an equilateral triangle ABC since each of an angle in an equilateral triangle is 600. Therefore, ∠A = ∠B = ∠C = 60° Draw a perpendicular line AD from A to BC. Now consider the triangle, ABD and ADC, We have, ∠ ADB = ∠ADC= 90° and ∠ ABD = ∠ACD= 60° Therefore, AD=AD According to AAS Congruency, Δ ABD ≅ Δ ACD From this, we can say BD = DC Let us take, AB = BC =2a Then, BD= ½ (BC) =½ (2a) =a By using Pythagoras theorem, AB2 = AD2– BD2 AD2= AB2-BD2 AD2 =(2a)2 – a2 AD2 = 4a2-a2 AD2 = 3a2 Therefore, AD=a√3 Now in triangle ADB, Tan 600= AD/BD = a√3/a = √3 Therefore, tan 60 degrees exact value is given by, Tan 600=√3

Virendra Kumar 6 years, 1 month ago

√3

Ankit Kumar 6 years, 1 month ago

Root 3

Chandan Kumar 6 years, 1 month ago

√3

Virat ?? 6 years, 1 month ago

√3

Yashasvi Jain 6 years, 1 month ago

1.732=tan60

Isha Negi 6 years, 1 month ago

√3 is the value of tan60

Miss.1234 6 years, 1 month ago

√3

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