(i) The value of cos θ increases as θ increases.

(ii) sin θ = cos θ for all values of θ.

Solutions:

(i) Answer: False.

The values of cos are as follows, based on the values derived using the unit circle:

cos 0° = 1

cos 30° = √3/2

cos 45° = 1/√2

cos 60° = 1/2

cos 90° = 0

As a result, as the value θ increases, the value of cos θ decreases. As a result, the preceding statement is false.

(ii) Answer: False

When a right triangle has 2 angles of (π/4), sin θ = cos θ

As a result, the preceding statement is false.