Trigonometry

Question

Factorize the expression 2 sinx cosx -cosx +4sinx -2 .

 

Ans:(cosx+2)(2sinx-1)

 

Thank you! :)

Answer 1

2*sin(x)*cos(x) - cos(x) + 4*sin(x) - 2

 

Let's factor by grouping:

 

[2sin(x)cos(x) - cos(x)] + [4sin(x) - 2]

 

[cos(x)*(2 sin(x)-1)] + [2*(2sin(x)-1)]

 

Factor out the (2sin(x)-1):

 

(cos(x)+2)*(2sin(x)-1)

Answer 2

From the given expression---

cos(x)(2sin(x)-1)+2(2sin(x)-1)

 

(cos(x)+2)(2sin(x)-1)