What is expand (1-cos(x))(1+sec(x)cot(x)=sin(x)) ?

The solution to expand (1-cos(x))(1+sec(x)cot(x)=sin(x)) is 1+sec(x)cot(x)=sin(x)

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expand (1-cos(x))(1+sec(x)cot(x)=sin(x))

expand

(1 - cos (x)) (1 + sec (x) cot (x) = sin (x))

1 + sec (x) cot (x) = sin (x)

Solution steps

(1 - cos (x)) (1 + sec (x) cot (x) = sin (x))

= (1 - cos (x)) (1 + = sec (x) cot (x) sin (x))

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = 1, b = - cos (x), c = 1, d = sec (x) cot (x) = sin (x)

1 \cdot 1 + 1 \cdot sec (x) cot (x) = sin (x) + (- cos (x)) \cdot 1 + (- cos (x)) sec (x) cot (x) = sin (x)

Apply minus-plus rules

+ (- a) = - a

1 \cdot 1 + 1 \cdot sec (x) cot (x) = sin (x) - 1 \cdot cos (x) - cos (x) sec (x) cot (x) = sin (x)

Expand

1 \cdot 1 + 1 \cdot sec (x) cot (x) : 1 + sec (x) cot (x)

1 + sec (x) cot (x) = sin (x)

x^{\frac{1}{2}} (x - 1)

(x - \frac{11}{2}) (x - \frac{5}{2})

x^{\frac{1}{2}} (x - 4)

(g^{2} + \frac{1}{4}) (g + \frac{1}{2}) (g - \frac{1}{2})

(cos (x) - \frac{1}{3} cos^{3} (x)) cos (x)

What is expand (1-cos(x))(1+sec(x)cot(x)=sin(x)) ?
The solution to expand (1-cos(x))(1+sec(x)cot(x)=sin(x)) is 1+sec(x)cot(x)=sin(x)