Sinx =
Find cosx and tanx

Cos(x) = sqrt(55) / 8; tan(x) = 3/sqrt(55)

Step-by-step explanation:

Sine is opposite over hypotenuse. So we get that the opposite is 3 and the hypotenuse is 8. To find the adjacent (which we'll need for cosine and tangent), we can use pythagoras' theorem. Therefore, 8^2 = 3^2 + A^2, where A is the adjacent. A then must equal sqrt(64-9) = sqrt(55).

Cosine is adjacent over hypotenuse, which is then sqrt(55) / 8. Tangent is opposite over adjacent, which is then 3 / sqrt(55) or (sqrt55)*3/55

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .