Important for :

1

2

A

As per the question, (1 – sin

[ ∵ 1 + tan

⇒ (1 – cos

[ ∵ sin

∴ sin^{2}β . cos^{2}β × |
1 | × | 1 | = 1 |

cos^{2}β |
sin^{2}β |

[ ∵ (1 – cos

Hence, option A is correct.

3

4

A

Since, value of cos Θ decreases, from 0° to 90° and at 45° it is equal to the value of sin Θ.

Similarly, value of sin Θ increases from 0° to 90° and at 45° it is equal to the value of cos Θ.

For 0° < Θ < 45°, cos Θ > sin Θ

So, value of cos 25° – sin 25° is always positive but less than 1.

Hence, option A is correct.

Hence, option A is correct.

5