Answer:
x = (-12/7 , 0)
y= (0,4)
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 7x=−12 for x
7x = -12
/7 /7
x = -12/7 and y =0
Plug x=0 into the equation and solve the resulting equation −3y=−12 for y
-3y = -12
/-3 -3
Y = 4 and X = 0
4(4x + 5)
4(4•7+5)
4(28+5)
4(33)
132
The identity in question is
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
so that
cos(a - b) = 12/37 cos(a) + 3/5 sin(b)
Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,
cos²(x) + sin²(x) = 1,
that
cos(a) = √(1 - sin²(a)) = 4/5
and
sin(b) = √(1 - cos²(b)) = 35/37
So,
cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185
The prime factors are 1,3,11,33
