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

If alpha and beta are acute angles and sin alpha = (3)/(5) , sin beta = (8)/( 17), find the values of sin ( alpha + beta), cos (alpha pm beta), and tan ( alpha pm beta).

If sin alpha = 3/5, find value of (i) sin 3 alpha , (ii) cos 3 alpha (iii) tan 3 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 "tan" alpha=-2 , find the value of "sin" alpha ( alpha lies in the II Quadrant).

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

If 0ltalpha,betaltpi and cos alpha+cos beta -cos(alpha+beta)=(3)/(2) , then the value of sqrt3 sin alpha+cos alpha is equal to

If (2 sin alpha)/(1 + cos alpha + sin alpha) = 3/4 , then the value of (1 - cos alpha + sinalpha)/(1 + sin alpha) is equal to

If 10sin^4alpha+15cos^4alpha=6 , find the value of 27cos e c^6alpha+8s e c^6alpha .

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

If alpha=cos ((2pi)/5)+isin((2pi)/5) , then find the value of alpha+alpha^2+alpha^3+alpha^4