Question:
What is the minimum value of p?
What is the minimum value of p?
Options:
- a) 0
- b) 1 2
- c) 1 2
- d) 1
- a) 0
- b) 1 2
- c) 1 2
- d) 1
correct answer : a)
Explanation:
p = |sin a – sin(a – 90°)|
= |sin a + cos a|
= 2 |sin 45° sin a + cos 45° cos a|
p = 2 |sin(45°+a)|
0 £ |sin(45°+a)| £1
0 £ 2 |sin(45°+a)| £ 2
\Minimum value of p is 0
p = |sin a – sin(a – 90°)|
= |sin a + cos a|
= 2 |sin 45° sin a + cos 45° cos a|
p = 2 |sin(45°+a)|
0 £ |sin(45°+a)| £1
0 £ 2 |sin(45°+a)| £ 2
\Minimum value of p is 0