angle Π/7

α= π/7 now prove

1) prove that cosecα=cosec2α+cosec4α

3 Answers

62
Lokesh Verma ·

If i remember correctly we have this was solved long back!

may be I am wrong

39
Dr.House ·

no takers? is it so simple?

1
yes no ·

convert to sinA

1/sinA = (sin2A + sin4A)/sin2Asin4A

(use sinA + sin B wala formula)
=> = 2sin3AcosA/2sinAcosA sin4A

cross multiplying and cancelling common terms

sin 3A = sin 4A

which is true as

A= pi/7

=> 7A = pi
=> 4A = pi-3A
take sin both sides
sin4A=sin3A

hence proved :)

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