If `alpha = 112^@ 30',` find the value of `sin alpha` and `cos alpha`.

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

If cos^(2)alpha+ cos alpha=1 , then find the value of 4 sin^(2)alpha+4 sin^(4) alpha+2 .

Find the value of sin 2 alpha, if sin alpha+ cos alpha=(1)/(3) .

If alpha=(pi)/(7), then find the value of ((1)/(cos alpha)+(2cos alpha)/(cos2 alpha))

If alpha=(pi)/(7) then find the value of ((1)/(cos alpha)+(2cos alpha)/(cos2 alpha))

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

If sin alpha=(3)/(5) and cos beta=(9)/(41) find the value of sin(alpha-beta) and cos(alpha+beta)

If sin alpha=(15)/(17) and cos beta=(12)/(13) find the values of sin(alpha+beta),cos(alpha-beta) and tan(alpha+beta)

If sin^(2)alpha+ sin alpha=1 , then the value of cos^(4) alpha+ cos^(2) alpha is ________

If sin alpha-cos alpha=m, then the value of sin^(6)alpha+cos^(6)alpha in terms of m is