(Q7)What can you say about the values of sin A and cos A, as the value of angle A increases from 0° to 90°?

(i) If A ≥ B, then sin A ≥ sin B. Is it true ?

(ii) If A ≥ B, then cos A ≥ cos B. Is it true ?Discuss.

(i) Given statement “If A ≥ B, then sin A ≥ sin B”

Is this statement is

True False

Because, it is clear from the table below that the sin A increases as A increases.

A 0° 30° 45° 60° 90°
sin A
1
1
√
√
2

(ii) Given statement “If A ≥ B, then cos A ≥ cos B”

Is this statement is

True False

Because, it is clear from the table below that cos A decreases as A increases.

A 0° 30° 45° 60° 90°
cos A
√
2
1
√
1