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10. Sine and Cosine Formulae and their Applications
Home · Class 11 · Maths · Ref. Book · 10. Sine and Cosine Formulae and their Applications
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Q8 of 87 Page 10

If in a ∆ABC, then find the measures of angles A, B, C.


According to sine law,



So,





Substituting in the given equation,




cot A= cot B=cot C


Or


tan A=tan B=tan C


Which implies


A=B=C


And we know


A+B+C=180°


So,


A=B=C=60°


More from this chapter

All 87 →
6

In a ∆ABC, if a = 8, b = 10, c = 12 and C = λA, find the value of λ.

7

If the sides of a triangle are proportional to 2, √6 and √3 – 1, find the measure of its greatest angle.

9

In any triangle ABC, find the value of a sin (B – C) + b sin (C – A) + c sin (A – B).

10

In any ∆ABC, find the value of ∑ a (sin B – sin C)

Questions · 87
10. Sine and Cosine Formulae and their Applications
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