Cos x tan x - cos x =0

cosx*sinx/cosx-cosx=0   //sinx=cosx///π/4/π+π/4

Step-by-step explanation:

x = π/2 + πn or x = π/4 + πn

Step-by-step explanation:

We are given:

(cosx) * (tanx) - (cosx) = 0

Notice that both terms on the left contain cosx, so we can factor that out. When we do so, we get:

cosx * (tanx - 1) = 0

Now, use the Zero Product Property. Since cosx times (tanx - 1) equals 0, then either cosx = 0, tanx - 1 = 0, or both. So, let's set them equal to 0:

cosx = 0

When is cosx = 0? Think about the unit circle; it's when x = π/2 + πn, where n is any whole number (positive or negative). For example, x = π/2 and x = 3π/2 works.

Now, look at tanx - 1 = 0. Adding 1 to both sides:

tanx = 1

When is tanx = 1? Again, think back to the unit circle; it's when x = π/4 + πn where n is again any whole number (positive or negative).

Since the problem didn't give any bounds, then we can say that:

x = π/2 + πn or x = π/4 + πn

If, however, the problem said that 0 ≤ x ≤ π/2, then we'd simply have x = π/4 or x = π/2.

~ an aesthetics lover

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: