Given x = 60°, tan x/2 can be rewritten as which of the following? 1-cos60/1-2sin^260 +- sqrt 1-cos60/1+cos60tan60/2tan^260+- sqrt 1-cos60/2

Choice B

I'm assuming choice B shows the quantity (1-cos(60)) all over the quantity (1+cos(60)), and that is one big fraction under the square root.

The trig identity we'll use is what I'm showing in the attached images below. All we do is replace theta with 60 and that's all there is to it. An identity like that is either memorized or you will have it handy on a notecard or reference sheet.

Step-by-step explanation:

Tangent function is one of the trigonometric function such that

Basically, we can also say that tangent function is ratio of side opposite to the angle and side adjacent to the angle.

Given:

We need to rewrite .

As

As we need to express , divide angle by 2, we get,

At ,

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb