What is the exact value of tan (StartFraction 5 pi Over 8 EndFraction)

To solve this exercirse, you must apply the proccedure below:

1. You need to apply the "Half-angle identity for tangent", which is:

Tan(θ/2)=Sinθ/1+Cosθ

2. But first, the angle 5π/4 must be expressed as a product of 1/2, as below:

5π/8=(5π/4)(1/2)

3. Now, you can susbtitute the angle into the formula:

=Sinθ/1+Cosθ

=Sin(5π/4)/1+Cos(5π/4)

Sin(5π/4)=-√2/2

Cos(5π/4)=Cos(π/4)

π/4 is the reference angle of 5π/4

π/4=√2/2

4. Then:

=(-√2/2)/(1-√2/2)

5. When you simplify the expression, you obtain:

=-1-√2

6. Therefore, the answer is: -1-√2

chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d