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

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

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expand cot(x)+cos(x)(tan(x)-tan(x/2))

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Simplify

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

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

(- 4 b + 2 x^{\frac{21}{5}}) (4 x^{3})

(x y^{2} - 4 x^{2} y^{3} + 5 x^{3} y + 4 x^{2}) l e f t (- 2 x^{3} y)

(1 + cos (θ)) \cdot cos (θ)

(\frac{1}{4} + \frac{2 x}{7}) (\frac{1}{4} - \frac{2 x}{7})

I n (e^{2 x} + 1)^{2}

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