LEAST VALUE

The least value of 9tan2∂ +4cot2∂ is

a) 13

b)5

c) 0
d) none of these

ans. d

4 Answers

1
b_k_dubey ·

\frac{9tan^{2}\theta +4cot^{2}\theta }{2}\geq \sqrt{36tan^{2}\theta cot^{2}\theta}

9tan^{2}\theta +4cot^{2}\theta \geq 12

1
sumit_kumar ·

but according to Tushar's soln , the least value is -12

62
Lokesh Verma ·

The problem with tushar's soln is that the part inside bracket is never zero!

1
satyajeet ·

exactly.....
it sud hav been (3tan∂ - 2cot∂)2 +12

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