Home » Aptitude » Height and Distance » Question
  1. sin A
    +
    sin A
    is ( 0° < A < 90° ) .
    1 + cos A1 - cos A
    1. 2 cosec A
    2. 2 sec A
    3. 2 sin A
    4. 2 cos A
Correct Option: A

As per given question , we have

sin A
+
sin A
1 + cos A1 - cos A

sin A
+
sin A
=
sin A( 1 - cos A ) + sin A( 1 + cos A )
1 + cos A1 - cos A
( 1 + cos A )( 1 - cos A )

= sin A - sin A cos A + sin A sin A cos A
1 + cos2 A

= 2 sin A = 2 cosec A
sin2 A

sin A
+
sin A
= 2cosec A
1 + cos A1 - cos A



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