If in a ABC, a = 3, c = 3 and A = 30^ then the angle B has the measure

JEE Advanced Mathematics question

Not in JEE syllabus

If in a , , and then the angle B has the measure

Answer: (A),(C)

This is the ambiguous case (SSA). Use the cosine rule for angle :

30° = ⇒ 33 b = + 6 ⇒ - 33 b + 6 = 0 ⇒ b = = 23 or 3.

- : $ B = =

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Question ID VK-110131