Trigonometry
Angle Sum and Difference, Double Angle and Half Angle Formulas
Find the exact value of:
If sinx = 4/8, find Cos (6x)

3√3

Step-by-step explanation:

If sinx = 4/8, find Cos (6x)

we need to first find cos

but applying trigonometry rule

sin²x+cos²x = 1

sinx = 4/8

sin²x = (4/8)² = 4²/8² = 16/64

from the rule

cos²x= 1 -sin²x = 1-16/64 = 64-16/64 = 48/64 = 3/4

cos²x = 3/4

cos x = √3/4 = √3/2

cos 6x = 6 x √3/2 = 3√3

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.