Answer:
One root is 90 degrees or π/2 radians.
Drawing a graph we get all the roots:
nπ and π(n - 1/2)
Step-by-step explanation:
Sin^3A.cos A + Cos^ 3 A = Cos A
Divide through by cos A
sin^3A + cos^2A = 1
sin^3 A = 1 - cos^2 A
sin^3 A = sin^2 A
sin A = 1
So one root is A = 90 degrees or π/2 radians.
Checking this result:
(sin 90^3 * cos 90 + (cos 90)^3 = 1 * 0 + 0 = 0
cos 90 = 0
So this is correct..
Answer:
\csc N = \frac{\text{hypotenuse}}{\text{opposite}}=\mathbf{\frac{25}{24}}
cscN= opposite
hypotenuse = 24/25
Step-by-step explanation:
8x - 3x - 7 = 23
5x - 7 = 23
5x = 30
x = 30/5 = 6
Answer:
y=2x+9
Step-by-step explanation:
I got y-2x+9 because if you add 8-1 that equals 7 and if u do 7-5 that equals 2 so y2x and then 7 Plus 2 equals 9 so it all adds up to Y=2x+9?.
Answer:
A number= 6
Step-by-step explanation:
The equation to represent this is 14-3y=-4 so if you put 6 in the place of y you get 14-18=-4