What is expand cot(θ)+cos(θ)(tan(θ)-tan(θ/2)) ?

The solution to expand cot(θ)+cos(θ)(tan(θ)-tan(θ/2)) is cot(θ)+sin(θ)-cos(θ)tan(θ/2)

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expand cot(θ)+cos(θ)(tan(θ)-tan(θ/2))

expand

cot (θ) + cos (θ) (tan (θ) - tan (\frac{θ}{2}))

cot (θ) + sin (θ) - cos (θ) tan (\frac{θ}{2})

Solution steps

cot (θ) + cos (θ) (tan (θ) - tan (\frac{θ}{2}))

Apply the distributive law:

a (b - c) = ab - a c

cos (θ) (tan (θ) - tan (\frac{θ}{2})) = cos (θ) tan (θ) - cos (θ) tan (\frac{θ}{2})

= cot (θ) + cos (θ) tan (θ) - cos (θ) tan (\frac{θ}{2})

Simplify

cos (θ) tan (θ) - cos (θ) tan (\frac{θ}{2}) : sin (θ) - cos (θ) tan (\frac{θ}{2})

= cot (θ) + sin (θ) - cos (θ) tan (\frac{θ}{2})

2 x + 5^{2} - x - 3^{2}

(2 x + tan (7 x))^{9}

(- 1, - 1) v (2, \frac{7}{2})

(\frac{y}{5} - 45)^{2}

(m^{2} + p^{2} + 4 m^{2} + p^{2})^{2}

What is expand cot(θ)+cos(θ)(tan(θ)-tan(θ/2)) ?
The solution to expand cot(θ)+cos(θ)(tan(θ)-tan(θ/2)) is cot(θ)+sin(θ)-cos(θ)tan(θ/2)