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Q.

Which of the following gives the least value of A

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a

cos⁡2A=sin⁡3A

b

cos⁡3A=sin⁡7A

c

tan⁡A=cot⁡3A

d

cot⁡A=tan⁡2A

answer is B.

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Detailed Solution

(a)cos⁡2A=sin⁡3A=cos⁡(π/2−3A)⇒5A=π/2=A=π/10  (b) â‡’10A=π/2⇒A=π/20(c)⇒A=π/8,(d)⇒A=π/6Least value of A is Ï€/20 given by (b).
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