Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.
<h3>What is a Quadratic Equation?</h3>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,
As we can see that the value of constants are,
a = 6
b = -31
c = 30
Therefore, the factors of the trinomial are (6x+5) and (x-6).
If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.
Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.
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