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)

(ln ∣ tan (x) + sec (x) ∣ - sin (x)) (sin (x))

(1 + \frac{1}{1 + t ^{2}}) (1 + t^{2})^{2}

\frac{ln ( \frac{( 1 + x + h )}{1 + x} )}{h}

\frac{1459}{( 1 + x ) ^{10}}

(x^{2} + 1 - x^{2} + 3 x + 4)^{3}

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)