Answer:
1 - cosΘ
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x
= 
← factor 1 - cos²Θ as a difference of squares
= 
← cancel 1 + cosΘ on numerator/ denominator
= 1 - cosΘ
Answer:
The slope intercept form: y = - 5x + 7
Step-by-step explanation:
The equation of line f is y − 9 = -5(x + 7)
You need to find the slope of line f
y - 9 = -5(x + 7)
In point slope form: y - y1 = m(x - x1) where m = slope
In the line f, slope m = -5
Parallel lines, slope is the same so slope of line g is also equal - 5
Line g passes through (3, - 8) so equation in point slope form:
y + 8 = -5(x - 3)
y + 8 = -5x + 15
y = -5x + 7 <-----this is slope intercept form
180 -20 = 160 so angle FHG equals 160
