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Questions  

Which of the following gives the least value of A

a
cos⁡2A=sin⁡3A
b
cos⁡3A=sin⁡7A
c
tan⁡A=cot⁡3A
d
cot⁡A=tan⁡2A

detailed solution

Correct option is B

(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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