What is cos(5t)(-5sin(5t)) ?

The solution to cos(5t)(-5sin(5t)) is -(5sin(10t))/2

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simplify cos(5t)(-5sin(5t))

simplify

cos (5 t) (- 5 sin (5 t))

- \frac{5 sin ( 10 t )}{2}

Solution steps

cos (5 t) (- 5 sin (5 t))

Apply rule:

a (- b) = - ab

cos (5 t) (- 5 sin (5 t)) = - cos (5 t) \cdot 5 sin (5 t)

= - cos (5 t) \cdot 5 sin (5 t)

= - 5 cos (5 t) sin (5 t)

Rewrite using trig identities

= - \frac{5 sin ( 10 t )}{2}

\frac{51}{17}

\frac{1}{1 1 ^{4}}

81 - 121 x^{2}

12100

+ \frac{4 !}{1 ! 3 !}

What is cos(5t)(-5sin(5t)) ?
The solution to cos(5t)(-5sin(5t)) is -(5sin(10t))/2