1.

If cos A = sin/2sinC, then ΔABC is(a) Equilateral(b) Isosceles(c) Right angled(d) None of these

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Answer:

❀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

\sf\blue{hope \: this \: helps \: you!! \: }


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