The Value of (cosec a- sin a)(sec a – cos a)(tan a + cot a) :

  1. 2
  2. 6
  3. 4
  4. 1
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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1 Answer(s)

Answer is (4): 1

Explanation:-
(cosec a – sin a) (sec a – cos a)(tan a+ cot a)
 = (1/sin a – sin a) (1/cos a – cos a) (tan a + 1/tan a)
 = {(1 – sin2 a)/sin a}{(1 – cos2a)/cos a}{(1 + tan2a)/tan a}
= (cos2a/sin a) (sin2a/cos a) (sec2a/tan a)
= cos a sin a (cos a/sin a x cos2 a)
 = sin a cos a/sin a cos a
= 1

Hence, the answer is (4) 1.

Monis Rasool Professor Answered on 28th October 2015.
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