Help for this question pls :)

Question

asked Oct 10, 2022 216k views

2 Answers

Dan Newton · Answer 1 · 2022-10-12T16:12:32+0000

Answer:

tan(
(A)/(2) ) = ±
(1)/(5)

Explanation:

Using the trigonometric identity

tan (
(A)/(2) ) = ±
$\sqrt{(1-cosA)/(1+cosA) }$

Given

tanA =
(5)/(12) =
(opposite)/(adjacent)

This is a right triangle 5- 12- 13 ( with hypotenuse 13 ), then

cosA =
(adjacent)/(hypotenuse) =
(12)/(13) , then

tan (
(A)/(2) )

= ±
$\sqrt{(1-(12)/(13) )/(1+(12)/(13) ) }$

= ±
$\sqrt{((1)/(13) )/((25)/(13) ) }$

= ±
$\sqrt{(1)/(25) }$

= ±
(1)/(5)