Cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12
tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5
2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26
sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26
sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5
Answer:<em> 44 matches</em>
Step-by-step explanation:
<em>Let's take the given information</em>
<em>They won 37 matches</em>
<em>1/9th of their matches resulted in a draw</em>
<em>1/9 out of 90 is 9</em>
<em>You can take 90/9 and you will get 9</em>
<em>Now let us add 37+9 and you get 47</em>
<em>Now take 90-47</em>
<em>44 Matches lost</em>
<em>22/45 or 44/90</em>
Answer:
Step-by-step explanation:
Suppose we have a general triangle like the one shown in the figure.
We know the angle A, the angle B and the length b.

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.
So

We solve the equation and thus we find the angle C.

We already know the three triangle angles.
Now we use the sine theorem to calculate the sides c and a.
The sine theorem says that:

Then



Also



Finally, we use the Heron formula to calculate the triangle area

Where s is:

Therefore


