What is expand sin(θ)-cos(θ)(sin(θ)-cos(θ)) ?

The solution to expand sin(θ)-cos(θ)(sin(θ)-cos(θ)) is sin(θ)-cos(θ)sin(θ)+cos^2(θ)

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expand sin(θ)-cos(θ)(sin(θ)-cos(θ))

expand

sin (θ) - cos (θ) (sin (θ) - cos (θ))

sin (θ) - cos (θ) sin (θ) + cos^{2} (θ)

Solution steps

sin (θ) - cos (θ) (sin (θ) - cos (θ))

Apply the distributive law:

a (b - c) = ab - a c

- cos (θ) (sin (θ) - cos (θ)) = - cos (θ) sin (θ) - (- cos (θ)) cos (θ)

= sin (θ) - cos (θ) sin (θ) - (- cos (θ)) cos (θ)

Simplify

- (- cos (θ)) cos (θ) : cos^{2} (θ)

= sin (θ) - cos (θ) sin (θ) + cos^{2} (θ)

(i + 2)^{4}

csc (a) (tan (a) - sin (a))

\frac{( 2 x + 12 ) ^{2}}{4} + \frac{( y - 4 ) ^{2}}{4}

(- 5 - 33)^{3}

\frac{25 ( s + 0.03 ) ( s + 1 )}{( s + 0.4 ) ( s ^{2} - 0.36 s + 0.16 )}

What is expand sin(θ)-cos(θ)(sin(θ)-cos(θ)) ?
The solution to expand sin(θ)-cos(θ)(sin(θ)-cos(θ)) is sin(θ)-cos(θ)sin(θ)+cos^2(θ)