What is expand (1-cos(θ))(1+sin(θ)+cos(θ)) ?

The solution to expand (1-cos(θ))(1+sin(θ)+cos(θ)) is 1+sin(θ)-cos(θ)sin(θ)-cos^2(θ)

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expand (1-cos(θ))(1+sin(θ)+cos(θ))

expand

(1 - cos (θ)) (1 + sin (θ) + cos (θ))

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

Solution steps

(1 - cos (θ)) (1 + sin (θ) + cos (θ))

Distribute parentheses

= 1 \cdot 1 + 1 \cdot sin (θ) + 1 \cdot cos (θ) - cos (θ) \cdot 1 - cos (θ) sin (θ) - cos (θ) cos (θ)

Simplify

1 \cdot 1 + 1 \cdot sin (θ) + 1 \cdot cos (θ) - cos (θ) \cdot 1 - cos (θ) sin (θ) - cos (θ) cos (θ) : 1 + sin (θ) - cos (θ) sin (θ) - cos^{2} (θ)

= 1 + sin (θ) - cos (θ) sin (θ) - cos^{2} (θ)

\frac{3 x ^{2} ( 9 - x ^{2} )}{( 7 - 5 x ) ( 5 x ^{2} - 6 )}

\frac{x + A}{A ( 1 + x )}

2 (e^{- 3 x} - 3 e^{- 3 x} x)

\frac{( x + 1 ) ^{2}}{e ^{x}}

(u - 4)^{4} u

What is expand (1-cos(θ))(1+sin(θ)+cos(θ)) ?
The solution to expand (1-cos(θ))(1+sin(θ)+cos(θ)) is 1+sin(θ)-cos(θ)sin(θ)-cos^2(θ)