Решите уравнение 1. 9 cosx-9=0

2.-2cosx=0

3.7-6sinx=7

4. sin 2x=1

5. sin 2x=0.5

6.2cosx-1=0

7.2 cos x + под корнем 3=0

8.2 sinx-под корнем 2=0

9. cos x/2=-под корнем 2/2

1. 9 cos x = 9

cos x = 1

x = + - arccos 1 + 2pin, n ∈ Z

X = + - pi n, n ∈ Z

2. - 2cosx = 0

cos x = 0

x = p/2 m, m ∈ Z

3. - 6 sin x = 0

sin x = 0

x = pl, l ∈ Z

4. sin 2 x = 1

2x = p/2 + 2pk, k ∈ Z

x = p/4 + 4 pk, k ∈ Z

x = 3p/4 + 4 pk, k ∈Z

5. sin 2x = 1/2

2x = p/6 + 2 pn, n ∈ Z

x = p/12 + 4pn, n ∈ Z

x = 11p/12 + 4 pn, n ∈ Z

6. 2 cos x = 1

cos x = 1/2

x = p/3 + 2pk, k ∈ Z

x = - p/3 + 2pk, k ∈ Z

7. 2 cos x = - √3

cos x = - √3/2

x = 2p/3 + 2pl, l ∈ Z

x = - 2p/3 + 2 pl, l ∈ Z

8. 2 sinx = √2

sinx = √2/2

x = p/4 + 2pk, k ∈ Z

x = 3p/4 + 2pk, k ∈ Z

9. cos x/2 = √2/2

x/2 = + - p/4 + 2p n, n ∈ Z

x = + - p/2 + pn, n ∈ Z