If cos A = sin/2sinC, then ΔABC is
(a) Equilateral
(b) Isosceles
(c) Right angled
(d) None of these
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❀ʀᴇǫᴜɪʀᴇᴅ ᴀɴsᴡᴇʀ:
Because of the lack of grouping symbols, there are three questions here, all starting “What s the triangle ABC is”
cosB=sinA2sinC or cosB=sinA2sinC or cosB=sinA2sinC
The first two are unlikely to be finished since they depend on R. So we consider the last which becomes
2cosB=ac⇒a2+c2−b2ac=ac⇒b=c.
So the triangle is isosceles.
so,the answer is (b) Isosceles
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Hope this will help you mate
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