展开-sin(t)(sin((5pi)/(36))-sin(t))

解答

展开

- sin (t) (sin (\frac{5 π}{36}) - sin (t))

- sin (\frac{5 π}{36}) sin (t) + sin^{2} (t)

求解步骤

- sin (t) (sin (\frac{5 π}{36}) - sin (t))

使用分配律:

a (b - c) = ab - a c

a = - sin (t), b = sin (\frac{5 π}{36}), c = sin (t)

= - sin (t) sin (\frac{5 π}{36}) - (- sin (t)) sin (t)

使用加减运算法则

- (- a) = a

= - sin (\frac{5 π}{36}) sin (t) + sin (t) sin (t)

sin (t) sin (t) = sin^{2} (t)

= - sin (\frac{5 π}{36}) sin (t) + sin^{2} (t)

e x p an d \frac{( x + 9 ) ( x + 2 ) ( x + 4 )}{( x + 6 ) ( x + 7 )}

e x p an d \frac{( x ^{2} + 4 x + 3 ) ( x + 1 )}{36}

e x p an d f (x) 3 t + 4 (g (x, t) = - 3)

e x p an d \frac{1}{( 1 - 5 x ) ^{- \frac{1}{4}}}

e x p an d (sin (a) + cos (b)) (sin (b) + cos (a))