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

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

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expand (sin(θ)+cos(θ)sin(θ))sin(θ)

expand

(sin (θ) + cos (θ) sin (θ)) sin (θ)

\frac{cos ( θ ) + 1}{csc ^{2} ( θ )}

Solution steps

(sin (θ) + cos (θ) sin (θ)) sin (θ)

= sin (θ) (sin (θ) + cos (θ) sin (θ))

Apply the distributive law:

a (b + c) = ab + a c

sin (θ) (sin (θ) + cos (θ) sin (θ)) = sin (θ) sin (θ) + sin (θ) cos (θ) sin (θ)

= sin (θ) sin (θ) + sin (θ) cos (θ) sin (θ)

Simplify

sin (θ) sin (θ) + sin (θ) cos (θ) sin (θ) : \frac{cos ( θ ) + 1}{csc ^{2} ( θ )}

= \frac{cos ( θ ) + 1}{csc ^{2} ( θ )}

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

5 x + 4 (- 4 x + 1)

\frac{( x + y i ) ^{5}}{( x ^{2} + y ^{2} ) ^{2}}

(z - 1)^{2} (0.02 + \frac{0.05 ( z + 1 ) K}{( z - 1 ) ^{2}})

10 (1 + 3 b = - 20)

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