If `sin alpha+cosec alpha=2` ,find the value of `sin^(n)alpha+cosec^(n)alpha`,`n in Z`

If 10sin^(4)alpha+15cos^(4)alpha=6 and the value of 9"cosec"^(4)alpha+8 sec^(4) alpha is S, then find the value of (S)/(25) .

If 15sin^4alpha+10cos^4alpha=6 then find the value of 8cosec^6alpha+27sec^6alpha .

If 15 sin^(4)alpha+10cos^(4)alpha=6 , then the value of 8 cosec^(6)alpha+27 sec^(6)alpha is

If sin alpha+ cos alpha=n , then sin^(6)alpha+ cos^(6)alpha in terms of n is ________

If 15 sin^(4) alpha+10 cos^(4) alpha=6 , some alpha in R , then the value of 27 sec^(6) alpha+8 cosec^(6) alpha is equal to

What is the value of (sin^4alpha-cos^4 alpha+1)cosec^2 alpha .

If 0 lt alpha lt pi/6 , then the value of (alpha cosec alpha ) is

If a cos^(3)alpha+3a cos alpha sin^(2)alpha=m and a sin^(2)alpha+3a cos^(2)alpha sin alpha=n then (m+n)^((2)/(3))+(m-n)^((2)/(3))=

If a cos^(3)alpha+3a cos alpha sin^(2)alpha=m and a sin^(3)alpha+3a cos^(2)alpha sin alpha=n. If (m+n)^((2)/(3))+(m-n)^((2)/(3))=2 lambda a^((2)/(3)) then find the value of lambda