If 10 sin 4 a + 15cos 4 a =6, find the value of 27cosec 6 a + 8sec 6 a

If 10 sin4a + 15cos4a =6, find the value of 27cosec6a + 8sec6a


2 Answers

Anil Pannikar AskiitiansExpert-IITB
85 Points
13 years ago

Dear Ankit ,

 convert cos4a =( 1 sin2a)2

 sunstitue in eq and u will get a quadratic eq. ,    25sin4a - 30sin2a + 9 =0

so sina = sqrt. (3/5)

now cosec a = sqrt. ( 5/3 )

seca = sqrt. ( 5/2 )

substitue in 27cosec6a + 8sec6a and find the value.

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Askiitians Expert

Anil Pannikar

IIT Bombay

rohit kantheti
20 Points
13 years ago

we get cos a =sqarerootof 2/5. and then find 'cosec a' and 'sec a'  we get the reqd. one as 250

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