What is expand (-1,cos(t))*(2sin(t),3pi-3t) ?

The solution to expand (-1,cos(t))*(2sin(t),3pi-3t) is 2sin(t)(-1,cos(t)),3pi-3t(-1,cos(t))

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expand (-1,cos(t))*(2sin(t),3pi-3t)

expand

(- 1, cos (t)) \cdot (2 sin (t), 3 π - 3 t)

2 sin (t) (- 1, cos (t)), 3 π - 3 t (- 1, cos (t))

Solution steps

(- 1, cos (t)) (2 sin (t), 3 π - 3 t)

= (- 1, cos (t)) (2 \cdot 3 π, sin (t) - 3 t)

Apply the distributive law:

a (b - c) = ab - a c

a = (- 1, cos (t)), b = 2 sin (t), 3 π, c = 3 t

= (- 1, cos (t)) \cdot 2 sin (t), 3 π - (- 1, cos (t)) \cdot 3 t

= 2 sin (t) (- 1, cos (t)), 3 π - 3 t (- 1, cos (t))

\frac{( 3 x + 2 ) ^{2}}{4 ( x + 2 ) ^{2}}

(- 10 + 5) x

\frac{2 x + 15 + 2}{2 ( x - 3 ) ( x + 10 )}

(T - a) (T - b) (T - c) (T - d) (T - e)

What is expand (-1,cos(t))*(2sin(t),3pi-3t) ?
The solution to expand (-1,cos(t))*(2sin(t),3pi-3t) is 2sin(t)(-1,cos(t)),3pi-3t(-1,cos(t))