Question:
Simplify: \((\sec A + \tan A)(1 – \sin A)\sec A\)
सरल बनाएं: \((\sec A + \tan A)(1 – \sin A)\sec A\)
Options :
- a) 2
- b) 0.5
- c) 1
- d) 0
- a) 2
- b) 0.5
- c) 1
- d) 0
correct answer : c)
Explanation :
(\sec A + \tan A) = (1 + \sin A) / \cos A.
Expression = [(1 + \sin A) / \cos A] × (1 – \sin A) × (1 / \cos A)
= (1 – \sin² A) / \cos² A = \cos² A / \cos² A = 1.
(\sec A + \tan A) = (1 + \sin A) / \cos A.
अभिव्यक्ति = [(1 + \sin A) / \cos A] × (1 – \sin A) × (1 / \cos A)
= (1 – \sin² A) / \cos² A = \cos² A / \cos² A = 1.