Question

help!! medal given ! use the figure to find the exact value of each trigonometric function.
2sin a/2 cos a/2

Answer 1

\[2\sin \frac{ \alpha }{ 2 }\cos \frac{ \alpha }{ 2 }\]

Answer 2

That reminds me of the double angle formula for sine.

Answer 3

the second angle will have the hypotnuse of 25

Answer 4

and yes i agree

Answer 5

and yes i agree\[\sqrt{\frac{ 1-\cos \alpha }{ 2}}\]

Answer 6

I was just about to ask you about the hypotenuse of that triangle. If you know Pythagorean triples, you'd recognize the 25 right off.

Answer 7

yes

Answer 8

And, did you know that when a hypotenuse and a leg differ by 1, then the mystery leg is the square root of the sum of the hypotenuse and the leg that differs by 1.