What is expand-sin(t)(sin((5pi)/(36))-sin(t)) ?

The solution to expand-sin(t)(sin((5pi)/(36))-sin(t)) is -sin((5pi)/(36))sin(t)+sin^2(t)

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expand-sin(t)(sin((5pi)/(36))-sin(t))

expand

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

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

Solution steps

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

Apply the distributive law:

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)

Apply minus-plus rules

- (- 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)

\frac{( x + 9 ) ( x + 2 ) ( x + 4 )}{( x + 6 ) ( x + 7 )}

\frac{( x ^{2} + 4 x + 3 ) ( x + 1 )}{36}

f (x) 3 t + 4 (g (x, t) = - 3)

\frac{1}{( 1 - 5 x ) ^{- \frac{1}{4}}}

(sin (a) + cos (b)) (sin (b) + cos (a))

What is expand-sin(t)(sin((5pi)/(36))-sin(t)) ?
The solution to expand-sin(t)(sin((5pi)/(36))-sin(t)) is -sin((5pi)/(36))sin(t)+sin^2(t)