SSC CGL Tier II 25 Oct 2015 Paper 1

Question : 75 of 100

Marks: +1, -0

The value of (cosec a – sin a) (sec a – cos a) (tan a + cot a) is

Solution:

(1) Expression = (cosec a – sin a) (sec a – cos a) (tan a + cot a)

= ( {1}/{\sin a}-\sin a ) ( {1}/{\cos a}-\cos a )

( {\sin a}/{\cos a}+ {\cos a}/{\sin a} )

= ( {1-\sin ^{2} a}/{\sin a} ) ( {1-\cos ^{2} a}/{\cos a} )

{\sin ^{2} a+\cos ^{2} a}/{\cos a \.\sin a}

= {\cos ^{2} a}/{\sin a}×{\sin ^{2} a}/{\cos a} \×{1}/{\cos a . \sin a}

=1

Go to Question:

Prev Question

Next Question