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Question

If α,β are roots of the equation 6x2+11x+3=0 then



A

Both cos1α and cos1β are real

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B

Both cosec1α and cosec1β are real

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C

Both cot1α and cot1β are real

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D

None of the above

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Solution

The correct option is C

Both cot1α and cot1β are real


6x2+11x+3=0x=13,32
1<13<1
32<1
cos1(13) exists but cos1(32) does not; 
cosec1(32) exists but cosec1(13) does not; 
cot1(13) and cot1(32) exist 


Mathematics

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