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

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

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expand (sin(θ)+cos(θ))(sin(x)-cos(x))

expand

(sin (θ) + cos (θ)) (sin (x) - cos (x))

sin (x - θ) + sin (θ) sin (x) - cos (θ) cos (x)

Solution steps

(sin (θ) + cos (θ)) (sin (x) - cos (x))

Apply FOIL method

(sin (θ) + cos (θ)) (sin (x) - cos (x)) : sin (x - θ) + sin (θ) sin (x) - cos (θ) cos (x)

= sin (x - θ) + sin (θ) sin (x) - cos (θ) cos (x)

(x + 2) sin (x^{2} + 4 x + 17)

(1 - 2 cos (x) + cos (2 x))^{2}

(tan^{(2)} (y) - cot^{(2)} (y))^{(2)}

\frac{2 ( 30 + 7 )}{3}

163 π + \frac{π ( 165 - 8 2 )}{6}

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