Use abc to find the trigonometric ratios. Enter your answer as fractions

Tan <A = 4/3

Cos <A = 3/5

Sin <A = 4/5

Step-by-step explanation:

From the diagram given

Hypotenuse AB = 10

Adjacent = 6

Opposite = 8 (side facingc<A)

According to SOH CAH TOA

Tan <A = Opposite/adjacent

Tan <A = BC/AC

Tan <A = 8/6

Tan <A = 4/3

For Cos <A;

Cos <A = adj/hyp

Cos <A = 6/10

Cos <A = 3/5

For sin<A:

Sin <A = opp/hyp

Sin <A = 8/10

Sin <A = 4/5

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15